(x=yt-2)^2(56-tea)^2x10r
Using the given information, we determined the position and velocity functions of the model rocket at different time intervals. The velocity function varies during the rocket's upward acceleration, free fall, and the subsequent parachute slowing. The position function gives the height of the rocket at any time.
Explanation:To determine the position function s(t) and the velocity function v(t), we need to analyze the rocket's motion in different time intervals:
From time t = 0 to t = 3 seconds: The acceleration is given by a(t) = 66t. To find the velocity function, we integrate the acceleration function, v(t) = ∫ 66t dt = 33t2 + C1, where C1 is a constant of integration. We can determine C1 by using the initial condition of the rocket being at rest at t = 0 (initial velocity is 0), which gives us C1 = 0. So, v(t) = 33t2.From time t = 3 to t = 18 seconds: The rocket becomes a freely falling body. This means it is subject to a constant acceleration due to gravity, a(t) = -32 ft/s2. The velocity function can be found by integrating the acceleration, resulting in v(t) = -32t + C2. To determine C2, we use the fact that at t = 3 seconds, the velocity is 0 (since the fuel is exhausted). Plugging in these values, we find C2 = 96. Thus, v(t) = -32t + 96.From time t = 18 to t = 23 seconds: The velocity decreases linearly from -23 ft/s to 0 ft/s in 5 seconds. This means the acceleration is given by a(t) = (-23 - 0) / 5 = -4.6 ft/s2. Integrating the acceleration function, we get v(t) = -4.6t + C3. Using the fact that at t = 23 seconds the velocity is 0, we find C3 = 105.8. Thus, v(t) = -4.6t + 105.8.To find the position function s(t), we integrate the velocity function for each time interval:
From time t = 0 to t = 3 seconds: s(t) = ∫ (33t2) dt = 11t3 + C4. Using the initial condition s(0) = 0, we find C4 = 0. Therefore, s(t) = 11t3.From time t = 3 to t = 18 seconds: s(t) = ∫ (-32t + 96) dt = -16t2 + 96t + C5. Since the rocket is at rest at t = 3 seconds, we have the condition s(3) = 0, which gives us C5 = 1176. Hence, s(t) = -16t2 + 96t + 1176.From time t = 18 to t = 23 seconds: s(t) = ∫ (-4.6t + 105.8) dt = -2.3t2 + 105.8t + C6. Since the rocket starts floating to the ground at t = 18 seconds, we have the condition s(18) = 0, giving us C6 = -685. Thus, s(t) = -2.3t2 + 105.8t - 685.The position function s(t) represents the height of the rocket at any time t, while the velocity function v(t) represents the rate at which the height is changing with respect to time.
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PLS HELP WILL MARK BRAINLIEST
Answer:
Using formula: P = I^2 x R, we have:
P = 1.5^2 x 1.26 = 2.835 W
Hope this helps!
:)
Answer:
2.835 Watts
Explanation:
P = I²R
P = 1.5² × 1.26
P = 2.835 Watts
How would you find the speed of a person who walked
10 meters in 8 seconds? Circle the letter of the correct
answer.
a. Speed = 10 meters = 8 seconds
b. Speed - 8 seconds x 10 meters
c. Speed - 8 seconds 10 meters
Answer:
v = 1.25 m/s
Explanation:
We have,
Distance covered by a person is 10 meters
Time taken by him to cover that distance is 8 seconds.
If we want to find the speed of a person, we must know distance covered by it and taken. In this case, we know both distance and time. His speed is given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{10\ m}{8\ s}\\\\v=1.25\ m/s[/tex]
So, the speed of the person is 1.25 m/s.
What is the rate at which electrical energy is converted into other forms of energy?
Answer:
Electric power
Explanation:
Electric power is the rate at which electrical energy is converted to or from another form of energy, such as heat or light. The ratio of power to current is called the voltage.
Hope this helps!!!!!!!!!!!!!!
Forever friend and helper,
Cammie:)
Electric power is the rate at which electrical energy is converted into other forms of energy.
What is electrical energy?Electrical energy is the energy derived from electric potential energy or kinetic energy of the charged particles.
Specific examples of electrical energy include:
Alternating current (AC)Direct current (DC)Lightning.Batteries.Capacitors.What is electric power?Electric power is the rate at which work is done or energy is transformed into an electrical circuit. Electric power is measured in watts.
[tex]P = VI[/tex]
Where,
[tex]P[/tex] is the power
[tex]V[/tex] is the potential difference in the circuit.
[tex]I[/tex] is the electric current.
It can also be expressed as
[tex]P = I^{2}R[/tex]
Electric power is the scalar quantity.
Thus, it can be concluded that the rate at which electrical energy is converted into other forms of energy is called electric power.
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The index of refraction of halite, or rock salt, is 1.54. What is the speed of light in that mineral?
Answer:
1.94 * 10^8 m/s
Explanation:
as n= c/v
so v = c/n where c is the speed of light in vacuum so
v = 3 * 10^8 / 1.54 = 1.94 * 10^8
Final answer:
The speed of light in halite, or rock salt, with an index of refraction of 1.54, is approximately 1.95 x 10⁸ meters per second, calculated using the formula for the speed of light in a material based on its index of refraction.
Explanation:
The question asked is about determining the speed of light in a mineral known as halite, or rock salt, which has an index of refraction of 1.54. The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in the material. To find the speed of light in halite, we can use the formula:
Speed of Light in Mineral = Speed of Light in Vacuum / Index of Refraction
Given that the speed of light in a vacuum is approximately 3.00 x 10⁸ m/s, we can substitute the values into the equation:
Speed of Light in Halite = 3.00 x 10⁸ m/s / 1.54
This gives us a speed of approximately 1.95 x 10⁸ m/s. Therefore, the speed of light in halite, or rock salt, is around 1.95 x 10⁸ meters per second.
Dalton’s completing an investigation in the science lab. He observes that a sample of liquid turns to gas at 135°C. What’s this temperature called?
Answer:
Boiling point
Explanation:
A liquid turns into a vapor at a certain temperature, known as the boiling point.
The boiling point is the temperature at which a liquid transforms into a gas. It is a fundamental concept in chemistry and is typically related to phase transitions and thermodynamics. In Dalton's experiment, the boiling point of the liquid under study was observed to be 135°C.
Explanation:The boiling point is the temperature at which a liquid transforms into a gas or vapor. In Dalton's investigation, the boiling point of the liquid he was studying was 135°C. This concept applies when substances are undergoing a phase transition from liquid to gas, which is a core principle of chemistry. During this process, the average kinetic energy of the molecules of the liquid increases, and more molecules have sufficient energy to escape from the liquid into the gas phase.
The observation of a substance changing states due to an increase in temperature, as Dalton has done in his experiment, is crucial to understanding the nature and properties of the substance. The transition of a substance from a liquid to a gas is also an important concept in thermodynamics, with applications in areas such as cooking and the semiconductor industry.
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Which actions would increase the potential energy of a cup placed on a kitchen counter? Choose more than one answer.
- Slide the cup away from the edge
- Fill the cup with water
- Turn the cup upside down
- Add a handle to the cup
- Move the cup to the floor
Lift the cup over the counter
Answer:
Fill the cup with water
Add a handle to the cup
Explanation:
The potential energy is the energy possessed by a body by virtue of it position.
If the body has a mass of m, a height h Meters above the ground
PE= mgh
Hence
1. Fill the cup with water will increase potential energy since we are also increasing mass and weight
2. We can also see that adding a handle to cup increases The Masss of the cup, this also increases the potential energy.
The actions that could increased the potential energy is
Fill the cup with water Add a handle to the cup
The following information should be considered:
The potential energy is the energy possessed by a body by virtue of it position. In the case when the body has a mass of m, a height h Meters above the groundSo,
PE= mgh
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Savannah drove 716 miles on Monday. She drove another 572 miles on Tuesday. About how many miles did she drive
altogether?
Explanation:
We have,
Savannah drove 716 miles on Monday and She drove another 572 miles on Tuesday.
It is required to find the total distance covered by her altogether. It is equal to the sum of distance covered on Monday and distance covered on Tuesday. So,
d = 716 miles + 572 miles
d = 1288 miles
So, she drive 1288 miles altogether.
If Pat the cat was traveling at a speed of 3.5 m/s, and it took her 38.2s to run the entire length of the street she lives on, how long is the street?
Answer:
The street is 133.7 m long.
Explanation:
It is given that,
Speed of the cat, v = 3.5 m/s
It took her 38.2 s to run the entire length of the street she lives on.
We need to find the length of the street. It means we need to find the distance covered by cat. Speed of cat is given by :
[tex]v=\dfrac{d}{t}\\\\d=vt\\\\d=3.5\times 38.2\\\\d=133.7\ m[/tex]
So, the street is 133.7 m long.
Erosion piles up in low places to form:
soil and sand
lava and soil
magma and silt
sand and lava
Answer:
soil and sand
Explanation:
hope it's helpful
Use the graph to answer the questions.
Based on the graph, what happens to current as
resistance increases?
This type of graph shows which type of relationship
between the two variables?
What would be a reasonable estimate for current at a
resistance of 50 12?
Answer:
- decreases
- inverse proportionality
- 1 A
Explanation:
Just take my word for it lol:)
Answer:
what the other guy said
Explanation:
its right trust me
What will a reflected light wave do?
Answer:
Reflection of Light. When light waves are incident on a smooth, flat surface, they reflect away from the surface at the same angle as they arrive. ... Regardless of whether light is acting as particles or waves, however, the result of reflection is the same.
(a)
Sam sits in an optician's chair and looks at the chart through the plane mirror in
front of him. He needs to be able to read the letters. They are all capital letters
and Sam is seeing them in a mirror. Why will some letters look incorrect?
Answer:
Because it turn to the next side or i should say in the back.
Explanation:
Which of the following is a characteristic of elements
A. They are always metals
B. They cannot be divided into simpler substances
C. They break down when reacting with acids
D. They can be altered with and electric current
Answer:
B
Explanation:
They are the BASE elements. Cannot make them any simpler.
1. As the skiers move down the mountain their potential energy is converted into what?
2. As the skiers travel down the slope, a portion of their total energy is lost. This means that when they perform their tricks, they will never go as high as they were when they first pushed off from the gate. Describe how this energy is lost?
3. In the ski jump, all skiers launch from the same location. What would cause them to have
different amounts of potential energy?
Answer:
1. Potential energy is converted into kinetic energy since they are in motion.
2. As they slope down, work is done against the dissipative forces e.g; Air resistance, viscosity ( friction ). Hence energy is lost.
3. Different weights and heights at which they started sloping.
[tex]potential \: energy = mgh[/tex]
where mg is the weight.
h is the height moved
therefore, weight and height determines the potential energy.
When skiers descend, their potential energy converts to kinetic energy, which powers their movement. Energy is lost through friction and air resistance, reducing their overall energy. Different skiers can have different potential energy due to their varying mass.
Explanation:1. As the skiers move down the mountain, their potential energy, which is energy stored due to their elevated position, is converted into kinetic energy. This is the energy of motion that allows them to accelerate and move downhill.
2. In theory, potential energy would convert perfectly to kinetic energy. However, in reality, some energy is lost due to friction between the skis and the snow and through air resistance. These forces cause the skiers to lose speed over time, which means they will not be able to reach their original height when performing tricks.
3. Even though all skiers launch from the same location, their potential energy could vary due to differences in mass. According to the formula for potential energy which is PE = mgh (mass x gravity x height), a skier with a larger mass would have more potential energy than a skier with smaller mass, assuming they are at the same height.
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a light wave strikes the moon and reflects twards Earth. As the light travels to Earth does the wave carry energy and matter, just one or neither?
Answer:
These fields have electric and magnetic energy, therefore the light wave carries energy.
it does not transport matter
Explanation:
Light is an electromagnetic wave formed by the oscillation of electric and magnetic fields.
These fields have electric and magnetic energy, therefore the light wave carries energy.
But the wave does not need matter for its movement, which is why it transports matter. If we use the criterion of special relativity the mass of a light wave that travels at speed must be zero, so with this criterion it does not transport matter either
Final answer:
A light wave reflected from the Moon to Earth carries energy in the form of light and momentum, but it does not carry matter.
Explanation:
When a light wave strikes the moon and is reflected towards Earth, it carries energy but not matter. Light interacts with matter by reflecting, transmitting, or being absorbed, which may convert it into other forms of energy like heat. However, light itself is a form of energy and does not carry matter. The moon reflects sunlight, which then travels to Earth, illuminating the moon phases we observe.
Since light carries momentum as well, the energy transfer occurs when light impacts matter, but the absence of mass means no matter is carried with the light waves as they travel from the Moon to Earth.
Formerly, when scientists wanted to test substances, such as blood, they had to manually pipette each substance into individual test tubes or plate wells.
Today, there are machines available that can pipette many substances simultaneously. So, a task that used to take hours can now be performed in minutes. This machine is an example of a technology that can help scientists
A.
collect samples.
B.
communicate information.
C.
perform computations.
D.
store data.
FROM STUDY ISLAND
Answer:
A.
collect samples.
Explanation:
The main goal of science is to gain knowledge about the natural world, but this goal is nearly impossible to achieve without technology.
Technologies are products or processes that are created to solve a problem and/or take care of a human need. Technology is often used in science to collect samples, make measurements, collect and store data, analyze data through computations and graphing, and access remote locations, such as outer space.
PLEASE DON'T HESITATE TO GIVE BRAINLIEST AND/OR A THANKS!
Answer: Option A
Explanation:
It is correct
Two protons are 0.00500 m apart. Find the force between them.
Answer:
Force, [tex]F=9.21\times 10^{-24}\ N[/tex]
Explanation:
Charge on proton is [tex]+1.6\times 10^{-19}\ C[/tex].
The electrical force between charges is given by the product of charges and divided by square of distance between them. So, electric force is :
[tex]F=\dfrac{kq^2}{r^2}\\\\F=\dfrac{9\times 10^9\times (1.6\times 10^{-19})^2}{(0.00500 )^2}\\\\F=9.21\times 10^{-24}\ N[/tex]
So, force between protons is [tex]9.21\times 10^{-24}\ N[/tex].
The number of significant figures in 0.060900 is
Answer:
There are 5 significant figures.
Explanation:
You must start conting your sig figs until you continue to hit zeros at the end. Those zeroes at the end are disregarded. So 0.0609 is where you get your sig figs from.
IF SOMEONE ANSWERS CORRECTLY WITHIN 5 MINUTES, I'LL GIVE BRANLIEST ANSWER
An explosion causes debris to rise vertically with an initial velocity of 144 feet per second. The function s left parenthesis t right parenthesis equals negative 16t^2 + 144t describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous speed of the debris when it hits the ground?
Explanation:
An explosion causes debris to rise vertically with an initial velocity of 144 feet per second. The height as a function of time t is given by :
[tex]s(t)=-16t^2+144t[/tex]
t is in time in seconds
The speed of the debris is :
[tex]\dfrac{ds}{dt}=\dfrac{d(-16t^2+144t)}{dt}\\\\\dfrac{ds}{dt}=v=-32t+144[/tex] .......(1)
When it hits the ground, the distance covered is equal to 0 i.e. s(t)=0
So,
[tex]-16t^2+144t=0\\\\t(-16t+144)=0\\\\16t=144\\\\t=\dfrac{144}{16}\\\\t=9\ s[/tex]
It means at 9 seconds it will hit the ground.
Put t = 9 s in equation (1). So,
[tex]v=-32(9)+144\\\\v=-144\ m/s[/tex]
So, the the instantaneous speed of the debris when it hits the ground is (-144 m/s).
Two charged parallel plates are 0.25 meters away from each other. The field between the plates is 600 . What is the electric potential difference? ΔV = V
Answer:
ΔV = 150 V
Explanation:
An object is placed 19 cm in front of a concave spherical mirror of focal length 10 cm. What is the image distance?
21 cm
27 cm
6.8 cm
38 cm
The image distance for an object placed 19 cm in front of a concave mirror with a focal length of 10 cm is approximately 27 cm.
The image distance for an object placed 19 cm in front of a concave spherical mirror with a focal length of 10 cm can be determined using the mirror equation: 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. Plugging in the given values of f = 10 cm and do = 19 cm into the equation gives 1/10 = 1/19 + 1/di. Solving for di yields an image distance of approximately 27 cm. Therefore, the correct answer is 27 cm.
Rachel is wearing roller skates and is standing next to a wall. She pushes off from the wall and then glides to a stop. Plan an X in the lines next to all the statements that you think are true about Rachel’s motion.
__ The force from the wall is becoming less and less as Rachel glides on her skates.
__ Rachel’s motion energy is naturally going down and the energy is disappearing.
__ Rachel’s motion energy is being turned into other types of energy.
__ There is a force by the ground slowing Rachel down.
__ There is a force by the ground that keeps Rachel moving for a while before she stops.
Answer:
The correct option is;
Rachael's motion energy is being turned into other types pf energy
Explanation:
Here we have Rachael pushing off from the wall to generate motion energy. The motion energy makes Rachael glide such that she is displaced while at the same time she overcomes resistances to the motion, (rolling) of the tires from the ground as well as generates some audible noise and heat. These are all forms of energy that takes up the initial motion energy that Rachael had.
Final answer:
In Rachel's motion example, the key true statements are that her motion energy is being converted into other forms of energy and that friction from the ground is slowing her down. Energy conservation and friction are fundamental concepts in explaining her motion.
Explanation:
Rachel is wearing roller skates and is standing next to a wall. She pushes off from the wall and then glides to a stop. Let's examine which statements about Rachel's motion are true:
The force from the wall is becoming less and less as Rachel glides on her skates. False. The force from the wall is applied during the initial push and does not continue to act on Rachel as she glides.Rachel’s motion energy is naturally going down and the energy is disappearing. False. Energy does not disappear; it is converted into other forms according to the law of conservation of energy.Rachel’s motion energy is being turned into other types of energy. True. As Rachel glides and eventually stops, her kinetic energy is converted into other forms, such as heat due to friction.There is a force by the ground slowing Rachel down. True. This force is friction, which opposes the motion and contributes to Rachel's stop. There is a force by the ground that keeps Rachel moving for a while before she stops. False. The ground does not apply a force to keep Rachel moving. The motion observed is due to the initial force she applied by pushing off the wall and inertia.If Thomson’s atomic theory was accurate, what would the results of Rutherford’s gold foil experiment have been?
Answer:
If Thomson's atomic theory was accurate, the positively charged particles would have gone through the foil. The balanced positive charges and negative charges within the atom would have made the atom neutral, and the positive charges would not have been concentrated enough to cause deflection.
Explanation:
Answer:
THEY ARE CORRECT ^^^
Explanation:
The force on a current-carrying wire is minimum when the current is moving at what angle to the magnetic field?
10 degrees
30 degrees
45 degrees
90 degrees
Answer:
Option A. 10 degrees
Explanation:
When a charged particle is placed magnetic field, it will possess magnetic force. The force acting on the particle is given by :
[tex]F=ilB\sin\theta[/tex]
i and l are current and length of wire
Here,
[tex]\theta[/tex] is the angle between velocity and magnetic field.
The force is minimum when the value of [tex]\sin\theta[/tex] is minimum.
[tex]\sin(10)=0.17\\\\\sin(30)=0.5\\\\\sin(45)=0.707\\\\\sin(90)=1[/tex]
It is clear that the value of sin(10) is minimum out of all other angles. So, the force on a current-carrying wire is minimum when the current is moving at what angle of 10 degrees to the magnetic field
The force on a current-carrying wire is minimum when the current is at a 90-degree angle to the magnetic field because the sine of 90 degrees is zero, resulting in zero force.
The force on a current-carrying wire is minimum when the current is moving at a 90-degree angle to the magnetic field. This is because the force on a wire within a magnetic field is given by the equation F = IlB sin( heta), where F is the force, I is the current, l is the length of the wire, B is the magnetic field strength, and heta is the angle between the direction of the current and the magnetic field. Since the sine function reaches its minimum value at heta = 90 degrees or heta = 270 degrees, which corresponds to sine values of 0, the force is minimum at these angles.
A car travels a distance of 98 meters in 10 seconds. What is the average speed of the car?
A. 4.9 m/s C. 9.8 m/s
B. 49 m/s D. 98 m/s
Answer:
C
Explanation:
So,the right answer is of option C.
look at the attached picture
Hope it will be helpful to you
Rays of light strike a bumpy road and are reflected.
What can be predicted about the reflected rays?
They will not follow the law of reflection.
Each will reflect at the exact same angle of reflection.
They will all travel in the same direction.
Each will reflect at an angle equal to its angle of incidence.
Answer:
last option is the correct one
Answer:
D. Each will reflect at an angle equal to its angle of incidence.
Explanation:
If velocity is positive, which would most likely yield a negative acceleration?
A. A final velocity that is faster than an initial velocity.
B. A time that is less than a half hour.
C. An initial velocity that is faster than a final velocity.
D. A time that is greater than a half hour.
please answer quickly
Answer:
C my brodaz
Explanation:
Find the volume. *
6 in
11 in
Volume =
A ship sends out a 1200 Hz sound wave, which has a wavelength of 1.2 m in the water. It reflects off the ocean floor and returns to the ship in a total time of 5 seconds. How deep is the ocean at this location?
speed =frequency ×wavelength
1200×1.2=1440m/s
s=2d/t
1440=2d/5
2d=7200
d=3600m
The distance of the ocean at this location should be considered as the 3600 m.
Calculation of the distance:Since we know that
speed =frequency ×wavelength
So,
1200×1.2=1440m/s
Also we can say that
s=2d/t
So,
1440=2d/5
2d=7200
d=3600m
hence, The distance of the ocean at this location should be considered as the 3600 m.
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Which term describes the sum of all forces acting on an object
Answer:
The sum of all the forces acting on an object is the net force or resultant force. ... For example, gravitational force (on earth) acts in downward direction and has a magnitude equal to mass of the object and acceleration due to gravity.
Explanation:
The sum of all forces is described by "Net force".
Net force seems to be the total among all pressure or the force applied on such an item. Newton's Law (second) states that applying net force to such an item causes it to accelerate immediately.The total of N forces exerted on such an item has been represented by the equation given below.→ [tex]F_{NET} = F_1+F_2+...+F_N[/tex]
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