a ball is thrown straight up it passes a 2.00 m high window 7.5 meters off the ground on its path up it takes 1.3 s to go past the window. what was the balls initial velocity?

Answers

Answer 1
Let's say the velocity at the bottom of the window was "v."
s = v*t + ½at²
2 m = v * 1.3s - 4.9m/s² * (1.3s)² = v * 1.3s - 8.3 m
v = 10.3m / 1.3s = 7.9 m/s

Then the initial speed was
V = √(v² + 2as) = √(7.9m/s² + 2 * 9.8m/s² * 7.5m) = 14 m/s ◄ initial velocity
(after rounding to 2 digits from 14.5 m/s).
Answer 2

Final answer:

The initial velocity of the ball is approximately 14.9 m/s, found using kinematic equations considering the ball's upward motion against gravity over 1.3 seconds to pass a 2.00 m high window.

Explanation:

To determine the initial velocity of a ball thrown straight up, we can use the kinematic equations for uniformly accelerated motion. The ball passes a 2.00 m high window that starts 7.5 meters above the ground, and it takes 1.3 seconds to pass by the window. We'll use the following kinematic equation:

s = ut + 1/2at²

where s is the displacement (the height of the window), u is the initial velocity we want to find, t is the time (1.3 seconds), and a is the acceleration due to gravity (approximately -9.81 m/s², since it's upwards).

Plugging in the values, we have:

2.00 m = u(1.3 s) + 1/2(-9.81 m/s²)(1.3 s)²

Solving for u, the initial velocity of the ball is calculated to be the positive root of the resulting quadratic equation. After performing the algebraic manipulation, we find that the initial velocity is approximately 14.9 m/s.


Related Questions

Chinook salmon are able to move through water especially fast by jumping out of the water periodically. this behavior is called porpoising. suppose a salmon swimming in still water jumps out of the water with velocity 6.65 m/s at 48.1° above the horizontal, sails through the air a distance l before returning to the water, and then swims the same distance l underwater in a straight, horizontal line with velocity 3.79 m/s before jumping out again. (a) determine the average velocity of the fish for the entire process of jumping and swimming underwater. incorrect: your answer is incorrect. your response differs from the correct answer by more than 10%. double check your calculations. m/s (b) consider the time interval required to travel the entire distance of 2l. by what percentage is this time interval reduced by the jumping/swimming process compared with simply swimming underwater at 3.79 m/s?

Answers

When it jumps, the fish travels a horizontal distance of
[tex]d_1=(v^2/g)*sin(2\theta) =(6.65^2/9.81)*\sin(2*48.1) =4.48 m[/tex]
The horizontal speed when the fish jumps is
[tex]v_1=v\cos \theta =6.65*\cos(48.1) =4.44 (m/s)[/tex]
The average speed is give by the equation
[tex]v=(v_1*d_1+v_2*d_2)/(d_1+d_2) [/tex]
[tex]v=(4.44*4.48 +3.79*4.48)/(4.48+4.48)=4.115 (m/s)[/tex]
Time to travel this way (jumping and swimming) is
[tex]t=t_1+t_2=4.48/4.44+4.48/3.79 =2.19 s[/tex]
If it were to swim the time was
[tex]tt=2*t_2=2*4.48/3.79 =2.364 s[/tex]
Percentage change is
[tex]\epsilon =(tt-t)/t =(2.364-2.19)/2.364 =0.073=7.3% [/tex]

Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant (and quite modest) acceleration. a train travels through a congested part of town at 7.0 m/s . once free of this area, it speeds up to 14 m/s in 8.0 s. at the edge of town, the driver again accelerates, with the same acceleration, for another 16 s to reach a higher cruising speed. what is the final speed?

Answers

First let us calculate the acceleration.

v1 = v0 + a t1

where v1 is final velocity, v0 is initial velocity, a is acceleration and t is time

Calculating for a:

14 m/s = 7 m/s + a * 8 s

a = 0.875 m/s^2

 

Therefore the final speed is calculated similarly:

v2 = v1 + a t2

v2 = 14 m/s + (0.875 m/s^2) * 16 s

v2 = 28 m/s

A fan is to accelerate quiescent air to a velocity of 8 m/s at a rate of 9 m3 /s. determine the minimum power that must be supplied to the fan. take the density of air to be 1.18 kg/m3

Answers

Given:
ρ = 1.18 kg/m³, density of air
v = 8 m/s, flow velocity
Q = 9 m³/s, volumetric flow rate

The minimum power required (at 100% efficiency) is
[tex] \frac{1}{2} (8 \, \frac{m}{s} )^{2}*(9 \, \frac{m^{3}}{s} )*(1.18 \, \frac{kg}{m^{3}}) = 339.84 \, W[/tex]

The actual power will be higher because 100% efficiency is not possible.

Answer: 339.8 W (nearest tenth)

Select the correct statement to describe when a sample of liquid water vaporizes into water vapor. Question 12 options: Temperature increases and molecular motion increases while shape becomes less defined. Temperature decreases and molecular motion increases while shape becomes less defined. Temperature decreases and molecular motion decreases while shape becomes more defined. Temperature increases and molecular motion decreases while shape becomes more defined.

Answers

Temperature increases and molecular motion increases while shape becomes less defined
temperature increases and molecular motion increases while shape becomes less defined.

A ferris wheel of radius 100 feet is rotating at a constant angular speed Ï rad/sec counterclockwise. using a stopwatch, the rider finds it takes 5 seconds to go from the lowest point on the ride to a point q, which is level with the top of a 44 ft pole. assume the lowest point of the ride is 3 feet above ground level.

Answers

Refer to the figure shown below.

From the geometry,
y = 100 - (44 - 3) = 59 ft
From the Pythagorean theorem,
x² = 100² - 59² = 6519
x = 8007403 ft

Calculate the central angle, θ.
cos θ = 59/100 = 0.59
θ = 53.84° = 0.9397 radians

Calculate the arc length pq.
S = pq = 0.9394*100 = 93.94 ft

Calculate the angular velocity.
ω = (0.9397 radians)/(5 s) = 0.188 rad/s

Calculate the tangential velocity.
v = (100 ft)*(0.188 rad/s) = 18.8 ft/s

Calculate the time for 1 revolution.
T = (2π rad)/(0.188 rad/s) = 33.4 s

Answers:
The angular speed is  0.188 rad/s
The tangential speed is 18.8 ft/s
The time for one revolution is 33.4 s

Angular speed is  0.188 rad/s ,

Tangential speed is 18.8 ft/s ,

Time for one revolution is 33.4 s.

Given :

Ferris wheel of radius 100 ft.

The lowest point of the ride is 3 feet above ground level.

Solution :

Refer the attached diagram for better understanding.

From the diagram we know that,

[tex]\rm y = 100-(44-3)=59 \; ft[/tex]

y = 59 ft

Now applying pythagorean theorem,

[tex]x^2 + 59 ^2= 100^2[/tex]

[tex]x=\sqrt{100^2-59^2}[/tex]

[tex]\rm x = 80.7403\;ft[/tex]

Now to calculate angle [tex]\theta\\[/tex],

[tex]\rm cos\theta = \dfrac{59}{100}=0.59[/tex]

[tex]\rm \theta = 53.84^\circ=0.9397\;radians[/tex]

Now the arc length pq is given by,

[tex]\rm S =pq=0.9397\times100[/tex]

[tex]\rm S = 93.97\; ft[/tex]

Now the angular velocity is given by,

[tex]\omega = \dfrac {0.9397}{5}[/tex]

[tex]\rm \omega = 0.188\;rad/sec[/tex]

Now the tangential velocity is given by,

[tex]\rm v={100}\times{0.188}[/tex]

[tex]\rm v = 18.8\;ft/sec[/tex]

Now the time for a single revolution is given by,

[tex]\rm T = \dfrac{2\pi}{0.188}[/tex]

[tex]\rm T= 33.4\; sec[/tex].

Therefore, angular speed is  0.188 rad/sec , tangential speed is 18.8 ft/s ec and time for one revolution is 33.4 sec.

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During what process does the gases that make up the solution we breathe are separated

Answers

The answer is Fractionation

To solve this we must be knowing each and every concept related to solution.  Therefore, respiration is the process with which gases that make up the solution we breathe are separated.

What is solution?

Solution is a homogeneous mixture which contain two component that are solute and solvent . Solute is the amount of component which is in small amount whereas solvent is a component which is in large amount.

Respiration is the process with which gases that make up the solution we breathe are separated. Respiration is a mechanism that occurs inside cells to produce energy by breaking down glucose molecules. The process may be neatly separated into two groups based on the usage of oxygen: anaerobic and aerobic respiration.

Therefore, respiration is the process with which gases that make up the solution we breathe are separated.

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A soccer player is running upfield at 10m/s and comes to a stop in 3 seconds facing the same direction. What is his acceleration?

Answers

The players acceleration is 3.33 m/s/s

Acceleration= Velocity/Time

A =10/3

Answer : His acceleration is, [tex]-3.3m/s^2[/tex]

Explanation :

By the 1st equation of motion,

[tex]v=u+at[/tex] ...........(1)

where,

v = final velocity = 0 m/s

u = initial velocity  = 10 m/s

t = time = 3 s

a = acceleration = ?

Now put all the given values in the above equation 1, we get:

[tex]0m/s=10m/s+a\times (3s)[/tex]

[tex]a=-3.3m/s^2[/tex]

Therefore, his acceleration is, [tex]-3.3m/s^2[/tex]


The wonders and mysteries of plants provide evidence for:


:creation
:accidental chance
:intelligent design
:evolution
:natural chemical origins

Answers

I think its evolution and creation.

Answer:

Creation and intelligent design

Explanation:

What part causes the disc brake caliper piston to retract when the brakes are released?

Answers

The part that causes the disc caliper piston to retract when the brakes are released is the square-cut O-ring.
The square cut seal is the most important part of a disc brake caliper, for keeping the brake behind the piston so that when you step on the brake pedal, it releases a pressure that applied to the piston which in return applies the pad to the rotor.

When a simple machine multiplies force, it decreases
a.potential energy.
b.distance moved.
c.both
d.neither?

Answers

When a simple machine multiplies force, it decreases (B) Distance moved, force is described as an interaction, which, unopposed, will change the motion of an object, the potential energy, however, remains the same. 

A ball thrown horizontally at 22.2 m/s from the roof of a building lands 36.0 m from the base of the building. how high is the building?

Answers

Refer to the diagram shown below.

h =  the height of the building
g = 9.8 m/s²
Wind resistance is ignored.

u = 22.2 m/s, horizontal velocity.
The initial vertical velocity is zero.

The time of flight, t, obeys the equation
h = (1/2)*g*t²
That is,
h  = 0.5*(9.8 m/s²)*(t s)² = 4.9t²
[tex]t= \sqrt{ \frac{h}{4.9} } =0.4518 \sqrt{h} [/tex]

Because the horizontal distance traveled is 36.0 m, therefore
(22.2 m/s)*(0.4518√h) = 36.0
10.03√h = 36
√h = 3.5892
h = 12.882 m

Answer: 12.9 m  (nearest tenth)

The height of the building is 12.898 meters.

First, we calculate the time of flight using the horizontal distance and the horizontal velocity:

[tex]\[ t = \frac{d}{v_x} \][/tex]

where [tex]\( t \)[/tex] is the time of flight, [tex]\( d \)[/tex] is the horizontal distance (36.0 m) and is the horizontal velocity (22.2 m/s). Plugging in the values:

[tex]\[ t = \frac{36.0 \text{ m}}{22.2 \text{ m/s}} \][/tex]

[tex]\[ t = 1.6216 \text{ s} \][/tex]

Now, we use the time of flight to find the height of the building using the vertical motion equation:

[tex]\[ h = \frac{1}{2} g t^2 \][/tex]

where [tex]\( h \)[/tex] is the height of the building, [tex]\( g \)[/tex] is the acceleration due to gravity (approximately [tex]\( 9.81 \text{ m/s}^2 \)[/tex]), and [tex]\( t \)[/tex] is the time of flight we just calculated. Plugging in the values:

[tex]\[ h = \frac{1}{2} \times 9.81 \text{ m/s}^2 \times (1.6216 \text{ s})^2 \][/tex]

[tex]\[ h = \frac{1}{2} \times 9.81 \text{ m/s}^2 \times 2.6297 \text{ s}^2 \][/tex]

[tex]\[ h = 4.905 \text{ m/s}^2 \times 2.6297 \text{ s}^2 \][/tex]

[tex]\[ h = 12.898 \text{ m} \][/tex]

A falling stone is at a certain instant 90 feet above the ground. two seconds later it is only 10 feet above the ground. if it was thrown down with an initial speed of 4 feet per second, from what height was it thrown?

Answers

Final answer:

The stone was originally thrown from a height of 234 feet. This solution was obtained using the physics kinematic equation for vertical motion.

Explanation:

This problem can be solved using the kinematic equation:

Δy = V₀t + 1/2gt²

, where:

Δy is the displacement (final position - initial position)V₀ is the initial velocityt is the timeg is the acceleration due to gravity, which is -32 ft/s² (negative because it's acting downwards)

From the statement we know: Δy = 10 ft - 90 ft = -80 ft after 2 seconds. We substitute these values and solve for the initial position, y₀. The equation becomes:

-80 = 4*2 + 1/2*(-32)*2²

. Solving gives us -80 = 8 - 64, so

y₀ = 80 + 64 + 90 = 234 ft

. Therefore, the stone was thrown from a height of 234 feet.

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Final answer:

Using the equations of motion under gravity, it's determined that the stone was thrown from a height of 162 feet considering it was thrown down with an initial velocity and passed specific heights in its journey.

Explanation:

The question involves finding the original height from which a stone was thrown, given that it was thrown down with an initial speed and passes specific points in its descent. To solve this problem, we can use the equations of motion under the influence of gravity. The formula that relates the initial velocity (u), the acceleration due to gravity (g = 32 feet/second2 downward), the time taken (t), and the displacement (s) is s = ut + (1/2)gt2.

In this instance, the stone is observed to move from 90 feet above the ground to 10 feet above the ground in 2 seconds, with an initial downward speed of 4 feet/second. The drop in height (displacement) is 80 feet (90 - 10). We can insert these values into the formula to find the initial height: Let H be the initial height, the equation becomes H - 90 = 4(2) + (1/2)(32)(22). Simplifying, we find that H - 90 = 8 + 64, which resolves to H = 162 feet.

Hence, the stone was thrown from a height of 162 feet.

This chemical equation represents the burning of methane, but the equation is incomplete. What is the missing coefficient in both the reactants and the products? CH4 + ____O2 → CO2 + ____H2O

Answers

Final answer:

The missing coefficients in the chemical equation for the combustion of methane are '2' for both O2 on the reactant side and H2O on the product side, making the balanced equation CH4 + 2O2 → CO2 + 2H2O.

Explanation:

The chemical equation in question represents the combustion of methane, which is a reaction where methane burns in the presence of oxygen to produce carbon dioxide and water. To balance the equation, we look at the number of atoms on both sides of the reaction and adjust them by adding coefficients. The balanced chemical equation is CH4 + 2O2 → CO2 + 2H2O. This indicates that one methane molecule reacts with two oxygen molecules to yield one carbon dioxide molecule and two water molecules. It is important in chemical equations to use the smallest possible whole-number coefficients to maintain the law of conservation of mass. The combustion of methane is an exothermic reaction as it releases energy in the form of heat and light.

The impact of the type of material of which the slope is made on acceleration

Answers

 The impact of the material type with which the slope is made affects the acceleration. Acceleration will be higher and smoother if the material of the slope surface is smoother as opposed to a texture which is not smooth. Smoother surface allows more acceleration because it will have less friction and resistance. Otherwise the friction will slow the object down for example a grassy ground will have more friction than a well maintained marble floor. 

A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s , releases a sandbag at an instant when the balloon is a height h = 40.0 m above the ground (Figure 1) . After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.
A) Compute the position of the sandbag at a time 1.05 s after its release.
B)Compute the velocity of the sandbag at a time 1.05 s after its release.
c) How many seconds after its release will the bag strike the ground?

Answers

Data:

Initial velocity upward: Vo = 5.00 m/s ,
Initial position: h = 40.0 m above the ground

Type of motion: free fall.

A) Compute the position of the sandbag at a time 1.05 s after its release.

Equation: y = h + Vo*t - g*(t^2) / 2

y = 40.0 m + 5.00 m/s * 1.05s - (9.8 m/s^2) * (1.05 s)^2 / 2 = 39.8 m

B)Compute the velocity of the sandbag at a time 1.05 s after its release.

Equation: Vf = Vo - g*t

=> Vf = 5.00 m/s - (9.8m/s^2) * (1.05 s) = - 5.29 m/s


Negative sign means that the sandbag is going down.

c) How many seconds after its release will the bag strike the ground?

Equation:

y = yo + Vo*t - g*(t^2) / 2

0 = 40.0 + 5.00t - 4.9 t^2

=> 4.9 t^2 - 5t - 40 = 0

Use the quadratic formula and you get: t = 3.41 s

(a). Position of sandbag at time [tex]1.05\text{ s}[/tex] after its release is [tex]\boxed{39.84\text{ m}}[/tex] above the ground.

(b). Velocity of the sandbag after time [tex]1.05\text{ s}[/tex] is [tex]\boxed{5.3\text{ m/s}}[/tex].

(c). The time taken after release the bag to strike the ground is [tex]\boxed{3.41\text{ s}}[/tex].

Further explanation:

Here, all the actions performed is under free fall. So, we will use the kinematic equations of motion for free falling body.

Given:

The velocity of rising of hot air balloon is [tex]5\text{ m/s}[/tex].

Height of hot air balloon when sandbag released is [tex]40\text{ m}[/tex].

Calculation:

Part (a)

Position of sandbag at time [tex]1.05\text{ s}[/tex] after its release.

When sandbag released the hot air balloon was rising up with the velocity of [tex]5\text{ m/s}[/tex].

So, initial velocity of sandbag will be [tex]5\text{ m/s}[/tex] in upward direction.

So, the time taken by the sand bag to reach at its top position is given by,

[tex]\boxed{v = u - gt}[/tex]                                                     …… (1)

Here, [tex]v[/tex] is the final velocity, [tex]u[/tex] is the initial velocity, [tex]g[/tex] is the acceleration due to gravity and negative sign is due upward motion of sandbag, [tex]t[/tex] is the time required to reach at top position.

Substitute values for v and u in equation (1).

[tex]\begin{aligned}0&=5-9.8t\\9.8t&=5\\t&=0.51\text{ s}\\\end{aligned}[/tex]

So, the distance travel by sandbag to top position can be calculated as,

[tex]\boxed{{v^2}={u^2}-2g{s_1}}[/tex]

Substitute values for [tex]v[/tex] and u in above equation.

[tex]\begin{aligned}{0^2}&={5^2}-2\times9.8\times{s_1}\\19.6{s_1}&=25\\{s_1}&=1.27\text{ m}\\\end{aligned}[/tex]

After that sandbag will start falling.

The time remain from the given time is,

[tex]\begin{aligned}{t_1}&=1.05-0.51\\{t_1}&=0.54\text{ s}\\\end{aligned}[/tex]

The distance travel by sandbag in [tex]0.54\text{ s}[/tex] in downward direction can be calculated as,

Substitute [tex]0[/tex] for [tex]u[/tex] and [tex]0.54\text{ s}[/tex] for [tex]t[/tex] in above equation.

[tex]\begin{aligned}{s_2}&=0\times0.54+\frac{1}{2}\times9.8{\left({0.54}\right)^2}\\&=1.43\text{ m}\\\end{aligned}[/tex]

So, the position of the sandbag after [tex]1.05\text{ s}[/tex] from the ground can be calculated as,

[tex]\begin{aligned}h&=40+{s_1}-{s_2}\\&=40+1.27-1.43\\&=39.84\text{ m}\\\end{aligned}[/tex]

Part (b)

Velocity of the sandbag after time [tex]1.05\text{ s}[/tex].

The velocity of the sandbag after time [tex]t[/tex] can be calculated as,

[tex]\boxed{v=u+gt}[/tex]

Substitute the values for [tex]u[/tex] and t in above equation.

[tex]\begin{aligned}v&=0+9.8\times0.54\\&=5.3\text{ m/s}\\\end{aligned}[/tex]

Thus, the velocity of the sandbag after time [tex]1.05\text{ s}[/tex] is [tex]\boxed{5.3\text{ m/s}}[/tex].

 

Part (c)

The time taken after release the bag to strike the ground.

The total distance the top most position of the bag and the ground is,

[tex]\begin{aligned}S&=40+{s_1}\\&=40+1.27\\&=41.27\text{ m}\\\end{aligned}[/tex]

Now, time taken by the bag to strike the ground from its top most position,

[tex]\boxed{S=ut+\dfrac{1}{2}g{t_2}^2}[/tex]

 

Substitute [tex]41.27{\text{ m}}[/tex] for [tex]S[/tex] and [tex]0[/tex] for [tex]u[/tex] in above equation.

[tex]\begin{aligned}41.27&=0\timest+\dfrac{1}{2}\times9.8{t_2}^2\\41.27&=4.9{t_2}^2\\{t_2}^2&=\dfrac{{41.27}}{{4.9}}\\&=2.9{\text{ s}}\\\end{aligned}[/tex]

Now, the total time taken by bag to strike the ground from the instant of release is,

[tex]\begin{aligned}T&={t_2}+t\\&=2.9+0.51\\&=3.41\text{ s}\\\end{aligned}[/tex]

Thus, the time taken after release the bag to strike the ground is [tex]\boxed{3.41\text{ s}}[/tex].

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Answer detail:

Grade: Senior School

Subject: Physics

Chapter: Kinematics

Keywords:

Hot air balloon, constant velocity, height of, position of sandbag, velocity of sandbag, total time, rising up, 5m/s, 40m, 1.05 s, displacement, balloonist, strike the ground.

Which activity can substantially increase the activity level of a person's lifestyle? driving a car using an escalator washing dishes walking to school

Answers

walking to school, hope this helps!

Answer: walking to school

Physical activity refers to the movement of skeleton muscles which requires the expenditure of energy by the body. This involves daily movement or motion activities an human being perform in order to carry out a desired function. For example, walking to class, cleaning a house and mowing the lawn all these activities involves the movement of muscles. Exercise is also a physical activity which is required to be done to maintain the fitness of the body.

Walking to school will substantially increase the activity level of a person's lifestyle because it favors the movement of muscles and bones and ensures the entire body activity by the expenditure of energy. This will help in booting up of stamina and endurance. Therefore, will make a person physically fit to lead a healthy life style.

Select all that apply.

A scientific theory _____.

is true all the time
is supported by evidence
can evolve over time
is a guess

Answers

A scientific theory is supported by evidence, can evolve over time, and is true all the time.

Scientific theories are NOT guesses but rather they are statements that are PROVEN correct through research, examination, and testing. Scientific theories can evolve as well, like Newton's laws change, and they are true all the time because they are called theories, theories are FACTS, definition of fact means true statement, not an opinion but rather fact, only hypothesis are not true all the time and opinions and guesses and etc that haven't been tested and confirmed.

A bird is flying due east. Its distance from a tall building is given by x(t)=30.0m+(11.7m/s)t−(0.0450m/s3)t3. A) What is the instantaneous velocity of the bird when t = 8.00 s

Answers

We are given the expression for the distance 'x' in terms of 't'.

We need to first differentiate x(t) to find an expression for the velocity in terms of 't'

[tex]x(t) = 30+11.7t-0.0450t^3[/tex]
[tex] \frac{dx}{dt} = 11.7(1)t^{1-1}-(0.0450)(3)t^{3-1}[/tex]
[tex]v= \frac{dx}{dt}=11.7-0.135t^2 [/tex]

The value of v when t = 8

[tex]v(8)=11.7-0.135(8)^2 = 3.06m/s[/tex]
Final answer:

To find the bird's instantaneous velocity at t = 8.00 s, the derivative of the position function x(t) is calculated to get the velocity function v(t), and then t = 8.00 s is substituted into this function to obtain the velocity at that instant.

Explanation:

The question asks for the instantaneous velocity of a bird at a specific time given its position as a function of time, x(t). To find the instantaneous velocity, we need to take the derivative of the position function with respect to time. Given the position function x(t) = 30.0 m + (11.7 m/s)t - (0.0450 m/s3)t3, the derivative of this function will give us the velocity function v(t).

Therefore, v(t) = dx(t)/dt = 11.7 m/s - 3*(0.0450 m/s3)*t2. Plugging in t = 8.00 s into this velocity function, we get v(8.00 s) = 11.7 m/s - 3*(0.0450 m/s3)*(8.00 s)2, which we can calculate to find the instantaneous velocity at t = 8.00 seconds.

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As a train accelerates away from a station, it reaches a speed of 4.9 m/s in 5.1 s. If the train's acceleration remains constant, what is its speed after an additional 7.0s has elapsed?

Answers

Acceleration is the rate of change of the velocity of a moving object. To determine the speed the object has at a certain time, we need to determine the acceleration first by dividing the speed with the time given. We do as follows:

acceleration = 4.9 m/s / 5.1 s = 0.96 m/s^2

To determine the velocity after 7.1 s, we multiply 7.1 s to the acceleration. 

speed or velocity = 0.96 x 7.1 = 6.52 m/s

The speed of the rain after accelerating for addition [tex]7\text{ s}[/tex] will be [tex]\boxed{11.62\text{ m/s}}[/tex].

Explanation:

Given:

The speed of the train after [tex]5.1\text{ s}[/tex] is [tex]4.9\text{ m/s}[/tex].

The initial speed of the train is [tex]0\text{ m/s}[/tex].

Concept:

The acceleration of a body is defined as the rate at which the velocity of the body in motion changes every second. If the acceleration of the body is in the direction of motion of the body, the body will be accelerated.

As the train stars from rest and accelerates away from the station, the speed of the train will increase according to the first equation of motion.

The expression for the first equation of motion for the motion of the train is:

[tex]\boxed{v_f=v_i+at}[/tex]

Here, [tex]v_f[/tex] is the final speed of the train, [tex]v_i[/tex] is the initial speed of the train, [tex]a[/tex] is the acceleration of the train and [tex]t[/tex] is the time taken by the train.

Substitute the values of velocity for first [tex]5.1\text{ s}[/tex] of motion of the train.

[tex]\begin{aligned}4.9&=0+a.(5.1)\\a&=\dfrac{4.9}{5.1}\text{ m/s}^2\\&=0.96\text{ m/s}^2\end{aligned}[/tex]

Now, the for the speed of the train after it travels for addition [tex]7.0\text{ s}[/tex] or a total of [tex]12.1\text{ s}[/tex].

[tex]\begin{aligned}v_f&=0+(0.96)(12.1)\text{ m/s}\\v_f&=11.62\text{ m/s}\end{aligned}[/tex]

Thus, The speed of the rain after accelerating for addition [tex]7\text{ s}[/tex] will be [tex]\boxed{11.62\text{ m/s}}[/tex].

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Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Laws of motion

Keywords:

train, accelerates, constant, rest, equation of motion, initial, final, velocity, time taken, addition 7 seconds, acceleration.

which matches mandeleevs prediction for the properties of eka-aluminum?

Answers

Which matches Mendeleev’s prediction for the properties of eka-aluminum?A. It would be a gas at room temperature. 
B. It would be strong metal with a high density. 
C.It would be a soft metal with a low melting point. Mendeleev's eka - aluminium is what we know today as gallium . The definition C in the question is closest to gallium or eka - aluminium.


How long does it take for the ball to hit the wall?
At what height does the ball hit the wall?

Answers

your answers are correct

The cannonball takes approximately 4.40 seconds to hit the wall and strikes it at a height of around 157.15 meters.

Let's solve this step by step:

Step 1: Calculate the time of flight

To find how long it takes for the cannonball to hit the wall, we need to consider the horizontal motion.

Initial horizontal velocity ([tex]u_x[/tex]): 89 m/s * cos(40°)[tex]u_x[/tex] = 89 * 0.766[tex]u_x[/tex] ≈ 68.174 m/sDistance to the wall (d): 300 mTime of flight (t) = d / [tex]u_x[/tex]t = 300 / 68.174t ≈ 4.40 seconds

So, it takes approximately 4.40 seconds for the ball to hit the wall.

Step 2: Calculate the height at which the ball hits the wall

For vertical motion:

Initial vertical velocity ([tex]u_y[/tex]): 89 m/s * sin(40°)[tex]u_y = 89 \times 0.643[/tex][tex]u_y \approx 57.227\ m/s[/tex]

Vertical displacement (y) after time t: [tex]y = u_y \times t - 0.5 \times g \times t^2[/tex] (where g is the acceleration due to gravity, approximately 9.8 m/s²)

[tex]y = 57.227 \times 4.40 - 0.5 \times 9.8 \times (4.40)^2[/tex][tex]y \approx 251.79 - 94.64[/tex][tex]y \approx 157.15 meters[/tex]

Therefore, the ball hits the wall at a height of approximately 157.15 meters.

The complete question is as follows:

A cannon elevated at 40 degrees is fired at a wall 300 m away on level ground. The initial speed of the cannonball is 89 m/sec.

1) how long does it take for the ball to hit the wall?

2) at what hight does the ball hit the wall?

A mass weighing 16 pounds is attached to a spring whose spring constant is 49 lb/ft. what is the period of simple harmonic motion?

Answers

Final answer:

To find the period of simple harmonic motion for the given mass and spring constant, first convert units, then apply the period formula to get approximately 0.6283 seconds.

Explanation:

The period of simple harmonic motion for a mass-spring system can be calculated using the formula for the period T of a simple harmonic oscillator:

T = 2π√(m/k)

where m is the mass in kilograms, k is the spring constant in newtons per meter (N/m), and π is approximately 3.1416. To use this formula, we must convert the mass from pounds to kilograms and the spring constant from pounds per foot to newtons per meter. The period T is the time it takes for one complete cycle of oscillation.

First, convert 16 pounds to kilograms (1 pound is approximately 0.453592 kilograms):

16 pounds × 0.453592 = 7.257 kilograms

Now, convert the spring constant from lb/ft to N/m (1 lb/ft is approximately 14.5939 N/m):

49 lb/ft × 14.5939 = 715.6011 N/m

Using the conversion values:

T = 2π√(7.257 kg / 715.6011 N/m) = 2π√(0.010139 kg/N·m)

Perform the calculation to determine the period:

T = 2π√(0.010139) ≈ 2π√(0.01) ≈ 2π(0.1) ≈ 0.6283 seconds

Thus, the period of simple harmonic motion for the given mass-spring system is approximately 0.6283 seconds.

In the circuit shown in the figure above where R1 and R2 have equal resistance values, when switch S1 is closed, what voltage would you measure across R2 with your meter? A. 1 V B. 3 V C. 6 V D. 0 V

Answers

B. 3V as they both have the same resistance and the potential difference across the circuit could be divided by 2

The voltage measured across the resistance [tex]R_{2}[/tex] will be [tex]\boxed{3\text{ V}}[/tex].

Explanation:

The two resistances in the given circuit are connected end to end. This connection of the resistors is termed as the series connection of the resistance.

Write the expression for the equivalent resistance of the two resistors.

[tex]R_{eq}=R_{1}+R_{2}[/tex]

Substitute the value of resistance in equation.

[tex]\begin{aligned}R_{eq}&=3\,\Omega+3\,\Omega\\&=6\,\Omega\end{aligned}[/tex]

Since the two batteries are connected in series. So the net voltage in the circuit will be [tex]6\text{ V}[/tex].

Write the expression for the total current drawn from the voltage source.

[tex]\boxed{I=\dfrac{V}{R}}[/tex]

Substitute the values of voltage drop and the total resistance in above expression.

[tex]\begin{aligned}I&=\dfrac{6}{6}\text{ A}\\&=1\text{ A}\end{aligned}[/tex]

The current in a series circuit remains constant through all the elements. Therefore, the current through each resistor will be [tex]1\text{ A}[/tex].

Write the expression for the voltage across the resistance [tex]R_{2}[/tex].

[tex]V'=I\times{R_{2}}[/tex]

Substitute the value of resistance and current in above expression.

[tex]\begin{aligned}V'&=(1\text{ A})\times(3\,\Omega)\\&=3\text{ V}\end{aligned}[/tex]

Thus, the voltage measured across the resistance [tex]R_{2}[/tex] will be [tex]\boxed{3\text{ V}}[/tex].

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Electric Current

Keywords:

circuit, resistance, current, voltage drop, potential difference, measure across, equal resistance, current drawn.

Which of the following survey questions would be an example of question-wording bias? A. Do you think background checks before buying a gun is a good idea? B. Do you think there should be a ban on assault rifles? C. Do you think hand guns should be registered? D. Do you think we should ignore our constitutional rights and let the government take citizens' guns away?

Answers

D is incredibly biased and is a leading question, and overall it is a poor excuse for any sort of unbiased surveying. 

Answer:

D. Do you think we should ignore our constitutional rights and let the government take citizens' guns away?

Explanation:

A question wording biased is what happens when the question states directly a point of biew and suggests the interviewed a certain answer that is clear once you´ve heard the question, in this case it is obvious that the question is against the ban on guns, because it is already judging any decision that the congress could make on it and suggesting a point of view to the interviewed.

To protect her new two-wheeler, Iroda Bike buys a length of chain. She finds that its linear density is 0.88 lb/ft. If she wants to keep its weight below 1.9 lb, what length of chain is she allowed?

Answers

Final answer:

Iroda can buy up to approximately 2.16 feet of chain to keep its weight under 1.9 lb, using the chain's linear density of 0.88 lb/ft to calculate the maximum length.

Explanation:

To calculate the length of chain Iroda Bike can buy without exceeding her weight limit of 1.9 lb, we can use the chain's linear density of 0.88 lb/ft. The length of the chain allowed (L) can be found with the equation:

Weight = (Linear Density) x (Length)

1.9 lb = 0.88 lb/ft x L

Solving for Length (L), we get:

L = 1.9 lb / 0.88 lb/ft = 2.1591 feet

Therefore, Iroda can buy up to approximately 2.16 feet of chain to keep its weight under 1.9 lb.

Activation energy can be provided by the kinetic energy of moving molecules. true or false?

Answers

In the concept of the chemical reactions, activation energy is the amount of energy that is to be available for the reaction to proceed. Likewise, this is the minimum energy that is to be available to start the reaction. This activation energy is most of the time supplied through heat. Only very small amount of the energy from the collisions of the reactants will produce the desired product. The collisions are the kinetic energy. Hence, the answer to this item is FALSE. 

Answer:

False

Explanation:

Activation energy is simply the initial energy input which is needed to proceed a chemical reaction. The source of this energy is heat, which is obtained when reactant molecules absorb thermal energy from their surroundings. This thermal energy provides the kinetic energy of moving molecules, by speeding up the motion of the reactant molecules.

Therefore, the correct option is false.

How many miles can you get on one tank of gas which holds 18 gallons and you get 22 miles per gallon

Answers

miles for 1 tank = 18 (gallons per tank) x 22 (miles per gallon)

18 x 22 = 396

you will get 396 miles per tank

hope this helps

Which item is made from an alloy?
steel tray
glass plate
credit card
copper wire

Answers

steel tray because steel is an iron-carbon alloy

Jeff’s father is installing a do-it-yourself security system at his house. He needs to get a device from his workshop that converts electric energy to sound energy. Which device is Jeff’s father looking for? switch motor buzzer bulb battery

Answers

Answer: buzzer.

The working principle of a buzzer is the conversion of electrical energy to sound energy.

The switch just cuts or permits the flow of current, the motor convertes electrical or other kind of energy into mechanical energy, a bulb converts electrical energy into light and a battery converts chemical energy into electrical energy.

Answer:

buzzer

Explanation:

Which is a transverse wave that requires a medium to move?

Answers

Ocean wave
Both ocean waves and sound waves require a medium but ocean waves are transverse.
I would say the correct answer is ocean waves.
Although light waves and microwaves also require a medium, they don't require that medium to move. Sound waves are a type of transverse waves, however, they are longitudinal, unlike ocean waves, which makes them incorrect here. Ocean waves are transverse, and given that they only appear in water, they also require their medium (water) to move in order to be created.
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