Referring to the above diagram, if the incline on the right has a slope of 5 cm of rise for each 2 cm of run, what distance will the ball travel horizontally on the incline to the right?

options are:
A: 10cm
B: 20cm
C: 8cm
D: no way to tell

Referring To The Above Diagram, If The Incline On The Right Has A Slope Of 5 Cm Of Rise For Each 2 Cm

Answers

Answer 1
C: 8 cm
       
Assuming no friction, since the ball is starting with an elevation of 20 cm, it will end up with an elevation of 20 cm. So let's just calculate the result. "slope of 5 cm of rise for each 2 cm of run". So for every 5 cm the ball rises, it will go 2 cm horizontally. Since we know the ball will have a total rise of 20 cm, that gives us 20 cm / 5 cm * 2 cm = 8 cm And looking at the available answers, 8 cm is sitting right there. So the answer is C: 8 cm
Answer 2
The answer to your question is 8 cm.

Related Questions

In 2.8 s, a car increases its velocity from 20. M/s to 25 m/s. What is the acceleration of the car

Answers

acceleration= change in velocity/time; 5/2.8 , so a=1.785714286

mason notices that his boat sinks lower into the water in a freshwater lake than in the ocean. what can explain this?

Answers

The effect of how salt in the water can change the boyincy

Answer: the boat is more dense in salt water

Explanation:

The Greeks studied charges using _____.
gold
copper
magnetite
amber

Answers

Amber was used by Greeks to study charges.

The answer is
amber.

Answer:

amber

Explanation:

The term "electric" was coined from the word amber. This was when the Greeks found out that many materials become electric when they were rubbed with certain electric materials. In fact, there were two types of electric charge.

When amber was rubbed with fur, the material possessed what was known as resinous electricity. On the other hand, when the material was rubbed against silk, it acquired what was known as vitreous electricity.

Thus, it was thought that electricity was produced by friction of amber.

What happens in terms of energy when a moving car hit a parked car causing the park card to move?

Answers

its like newtons 3rd law that once in motion a outer force has to stop it

Answer:

The moving car transfers Kinetic Energy to the parked car

Explanation:

Options are not supplied here but I have previously answered this question in a test and these options were supplied.

A) The moving car transfers kinetic energy to the parked car.

B) Kinetic energy in the moving car disappears.

C) Kinetic energy in the parked car is created.

D) The parked car transfers kinetic energy to the moving car.

A) This option provides us with the true outcome, the moving car transfers Kinetic energy to the parked car. This is in agreement with the law of conservation of energy. A transference of energy is the outcome of this event.

B) Kinetic energy cannot disappear, this is because according to the law of conservation of energy, energy can neither be created nor destroyed.

If energy disappears, this would imply that energy is destroyed which is not agreeable.

C) Kinetic energy in the parked car is created... Just like the option B above, and according to the above stated law, energy can neither be created nor destroyed. It is also not agreeable here that energy is created.

D) Energy can be transferred but, "a parked car indicates that the car only has potential energy" and as such cannot transfer kinetic energy to the moving car since it does not possess kinetic energy.

The internal pressure of a cylinder with one ounce of liquid r-410a refrigerant, which has been sitting in a 100 degree fahrenheit truck is ________.

Answers

The substance R-410A is a trademark symbol given to a refrigerant also known as Freon™. Since this is a synthetic substance, known thermophysical conditions are already tabulates as shown in the picture. At a temperature of 100°F, the pressure of the saturated liquid R-410A would be 332.38 psia.

What is the quality of the sound of a fire truck’s siren when it moves toward a stationary hearer?

Answers

What is the quality of the sound of a fire truck’s siren when it moves toward a stationary hearer?
Its High Pitched

What is the quality of the sound of a fire truck’s siren when it moves away from a stationary hearer?

Its Low Pitched

Answer:

The pitch increases.

Explanation:

According to the Doppler effect, the apparent frequency of the waves is different when there is relative motion between the source and the observer. When the source and observer approach, the apparent frequency (pitch) increases whereas it decreases when they recede away.

Thus, when a fire truck moves towards a stationary hearer, the pitch of the siren appears to increase.

The speed of sound in air is 331 m/s. what is the plane's speed in terms of the speed of sound?

Answers

Final answer:

The plane's speed in relation to the speed of sound, called Mach number, can be determined by dividing the plane's speed by the speed of sound.

Explanation:

The speed of a plane in relation to the speed of sound, often referred to as Mach number, is determined by dividing the plane's speed by the speed of sound. An airplane flying at the speed of sound would thus be flying at Mach 1. If the plane is flying faster than the speed of sound, it is considered to be supersonic. For instance, if the speed of the plane is 662 m/s, that would be Mach 2 as it is twice the speed of sound which is 331 m/s.

Therefore, to find the plane's speed in terms of the speed of sound, you would divide the plane's speed by 331 m/s.

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To express the plane's speed in terms of the speed of sound, we use the Mach number. If the speed of sound in air is 340 m/s, a plane traveling at Mach 2.00 is moving at 680 m/s (2 x 340 m/s).

The speed of sound in air is variable, depending on temperature and atmospheric pressure but is approximately 340 m/s at sea level at 21°C. When we talk about aircraft speeds, we often refer to their speed in terms of their Mach number, which is the ratio of the object's speed to the speed of sound. For instance, an aircraft flying at Mach 1 is traveling exactly at the speed of sound for those conditions, while Mach 2 indicates it is traveling twice the speed of sound. Therefore, if the speed of sound is 340 m/s and a plane is traveling at Mach 2, its speed is simply calculated by doubling the speed of sound, which gives us a velocity of 680 m/s. This is why an observer might hear a sonic boom without seeing the plane: it has passed by before the sound reaches the observer. Changes in air temperature also affect the speed of sound, so when a supersonic aircraft transitions from warmer to colder air, adjustments in velocity must be made to maintain the same Mach number due to the changed speed of sound.

Your body converts chemical energy to all of the following except

Answers

NUCLEAR ENERGY BECAUSE THAT WOULD BE DANGEROUS. 

true or false: objects fall toward earth at a rate of 9.8 m/s because of centripetal force.

Answers

Sadly, no. The statement kind of has some appropriate words in it, but it's badly corrupted. Objects don't fall to Earth at a rate of 9.8 m/s, and the force that accelerates them downward is not a centripetal one.
Final answer:

The statement is false; objects fall toward Earth at roughly 9.8 m/s² due to gravity, not centripetal force. Gravity is a force that causes objects to accelerate towards the Earth, while centripetal force relates to circular motion.

Explanation:

The statement that objects fall toward Earth at a rate of 9.8 m/s because of centripetal force is false. Objects in freefall near the Earth's surface accelerate downwards at approximately 9.8 m/s² due to the force of gravity, not centripetal force. Centripetal force is related to the circular motion of an object and is the force that acts on an object moving in a circular path, directed towards the center around which the object is moving.

It is important to note that the acceleration of 9.8 m/s², commonly represented as g, is somewhat an approximation. This value can slightly vary depending on the distance from the center of the Earth and the density of the Earth's crust in different locations. Nonetheless, for most practical purposes, especially in educational environments, g is considered to be a constant value.

Newton's Universal Theory of Gravity explains that this acceleration due to gravity is expected because the force of gravity, and thus the acceleration of an object, is inversely proportional to the square of its distance from the center of the Earth. Objects at or near the Earth's surface, like falling apples, typically experience this acceleration of 9.8 m/s².

A car travels in straight line for 5.5 h at a constant speed of 59km/h. What is its acceleration?

Answers

"Acceleration" means any change in the speed or direction of motion.
If the car is traveling in a straight line at a constant speed, then there's no change in its speed or direction.  It has no acceleration.

Which of the following is a natural resource that is used to produce margarine?

butter
water
hydrogenated oil
plants

Answers

the answer is water and plants

Final answer:

Hydrogenated oil, derived from plants, is used to produce margarine. The hydrogenation process converts liquid vegetable oils into solid or semi-solid fats, making them more stable for use in products like margarine.

Explanation:

The natural resource used to produce margarine is hydrogenated oil. Hydrogenation is a chemical process that converts liquid vegetable oils into solid or semi-solid fats, which are more stable. Margarine is made by reacting these oils (from plants like sunflowers, canola, or soy) with hydrogen. This is in the presence of a catalyst, usually a metal. The hydrogenation process solidifies the oils and changes their nutritional profile.

While water can be a component in the production process and plants are the source of the vegetable oils used, it's the hydrogenated oil that is the primary ingredient.

Butter, on the other hand, is not used in the production of margarine as it is an animal product and margarine is created as a plant-based alternative to it.

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Explain when the median of a data set is a better measure of the center than the mean

Answers

The median is better when there are outliers in the data set because they can throw off the mean by a lot

Answer:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

Explanation:

The dot plot or histogram will be skewed.

A probe orbiting Venus exerts a gravitational force of 2.58 × 10^3 N on Venus. Venus has a mass of 4.87 × 10^24 kg. The mass of the probe is 655 kilograms.To three significant digits, the probe is 9.08 × 10^6 m from the center of Venus.

Answers

So this is the info that's given to us:
m1 = 4.87 x 10^24 kg
m2 = 4.87 x 10^24kg
F = 2.58 x 10^3 N

Now we can use this equation to solve: [tex]f_g= \frac{Gm_1m_2}{r^2} [/tex]

You may be asking what g is. Well, it is equal to 6.67x10^-11 m3 /kg s2. G is gravitational constant. So :

[tex]2.58 x 10^3 = \frac{6.67x10^{-11} * 4.87 x 10^{24} * 655}{r^{2}} [/tex] 

As you can see we only have one variable, so we solve for r! 

[tex]r = 9.08 x 10^6 km[/tex]

I hope this helps you out. I remember when I was first learning Newton's law of universal gravitation and I had some trouble. But with some practice, I got better. =) 

Answer:

9.08

Explanation:

How far will sound travel in 60 seconds if the temeperature is 20c?

Answers

speed at 20°C = 343m/s
time taken= 60s

distance = speed × time
= 343 × 60
= 20,580m

A rock held by a person above the floor, but not dropped, is an example of which of newton's laws?

Answers

The velocity is constant in the absence of a net force and  when one object exerts a force on a second object, the second object exerts an equal force in the opposite direction on the first object. Those two sentences will be your answers.

Two scientists are discussing their beliefs about something they cannot observe

Answers

Could it be hypothesis?
they're
talking about  what some one told them 

Suppose a 4.0 kg mass of water gained heat and increased in temperature from 10°C to 15°C. The specific heat capacity of water is 4.186 kJ/kg°C. How much heat was gained by the water?

9.6 kJ
20 kJ
56 kJ
84 kJ

Answers

84 becuse if you do the equation right the results will conglude in 84 kj

M = 4 kg

s = 4.186 kJ/Kg °C

10°C to 15°C.

ᐃ t = 15°C. - 10°C

           = 5°C

Q= msᐃt

  = 4*4.186*5°C

  = 83.72 kJ

What is heat ?

"Heat is the transfer of kinetic energy from one medium or object to another, or from an energy source to a medium or object. Such energy transfer can occur in three ways: radiation, conduction, and convection."

What is specific heat ?

"The quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree. The units of specific heat are usually calories or joules per gram per Celsius degree."

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Which one of the following accurately pairs the device with its function?

A. Bourdon gage—move pistons to create a system of constant pressure
B. Bourdon gage—indicate steam pressure in a furnace
C. manometer—check batteries
D. manometer—determine the specific gravity of a liquid

Answers

Answer;

B. Bourdon gage—indicate steam pressure in a furnace

Explanation;

-Bourdon gauge is an instrument for measuring the pressure of gases or liquids, consisting of a semicircular or coiled, flexible metal tube attached to a gauge that records the degree to which the tube is straightened by the pressure of the gas or liquid inside.

-The Bourdon pressure gauge operates on the principle that, when pressurized, a flattened tube tends to straighten or regain its circular form in cross-section.

-When a gauge is pressurized, the Bourdon creates the dial tip travel to enable pressure measurement. The higher the pressure requirement of the application, the stiffer the Bourdon tube needs to be, which means Bourdon wall thickness and diameter are key considerations for enabling the required tip travel to traverse the necessary movement and, thus, facilitate pressure measurement accuracy.

A box of mass 5.0 kg is accelerated from rest by a force across a floor at a rate of 2.0 m/s2 for 7.0 s. find the net work done on the box.

Answers

Answer:

Work done on the box is 490 joules.

Explanation:

It is given that,

Mass of the box, m = 5 kg

Initial speed of the box, u = 0

Acceleration of the box, [tex]a=2\ m/s^2[/tex]

Time taken, t = 7 s

The force is calculate using the product of mass and acceleration. It is given by :

F = ma

[tex]F=5\ kg\times 2\ m/s^2=10\ N[/tex]

Let d is the distance covered by the box. Using the equation of motion as :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

[tex]d=\dfrac{1}{2}\times 2\ m/s^2\times (7\ s)^2[/tex]

d = 49 m

The product of force and distance is equal to the work done on the box. It is given by :

[tex]W=F\times d[/tex]

[tex]W=10\ N\times 49\ m[/tex]

W = 490 joules

So, the work done on the box is 490 Joules. Hence, this is the required solution.

The net work done on the box weighing 5.0 kg and accelerated from rest by a force across a floor is 490 Nm.

Given the following data:

Initial velocity = 0 m/s (since the box starts from rest).Mass of box = 5 kgAcceleration = 2 [tex]m/s^2[/tex]Time = 7 seconds

To find the net work done on the box:

First of all, we would determine the force acting on the box:

[tex]Force = Mass[/tex] × [tex]acceleration[/tex]

[tex]Force = 5[/tex] × [tex]2[/tex]

Force = 10 Newton

Next, we would use the second equation of motion to determine the distance traveled by the box:

[tex]S = ut+ \frac{1}{2}at^2[/tex]

Where:

S is the displacement or distance traveled.u is the initial velocity.a is the acceleration.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]S = 0(7)+ \frac{1}{2}(2)(7^2)\\\\S = 0 + 49[/tex]

Distance, S = 49 meters.

Now, we can determine the net work done on the box:

[tex]Work\; done = Force[/tex] × [tex]distance[/tex]

[tex]Work\; done = 10[/tex] × [tex]49[/tex]

Work done = 490 Nm

Therefore, the net work done on the box is 490 Nm.

Calculate the distance travelled by the van between 16.0s and 23.0s. Give your answer correct to 2 significant figures.

Answers

45.5 meters
Looking at the graph, the van is decelerating at a constant rate from 13 m/s down to 0 m/s over the time interval from 16.0s to 23.0s. The duration of the deceleration is (23.0 - 16.0) = 7.0s. The change in velocity over that interval is 13m/s, so the rate of acceleration is (13.0/7) = -1.857143 m/s^2 (Value is negative since the vehicle is decelerating.
Since d=1/2 A T^2 for constant acceleration, the formula for how far the van travels is
13T - 1/2*1.857143 T^2. = d
Substituting 7 for T gives
13*7 - 1/2*1.857143*7^2 = d
91 - 0.928571*49 = d
91 - 45.5 = d
45.5 = d
Therefore the van moves a total of 45.5 meters over the time interval from 16.0s to 23.0s.

Write about a possible scenario where you may be tempted to not use lab safety explain what the correct and most safe choice would be in that situation

Answers

One instance of forgoing lab safety would be a simple drop of a chemical into a test tube, and not wearing protective eye gear. Although it seems irrelevant to put on the goggles just for this matter, it is ultimately the safest option to do so in order to remain unharmed.

What are the SI base units for length and mass?
kilometer and gram
meter and gram
meter and kilogram
kilometer and kilogram

Answers

The answer is:
Meter and Kilogram

I hope that i could be of assistance! ;)

Answer:

meter and kilogram

Explanation:

As we know that there are seven fundamental SI units which are used to fine derived units

these are as following

1). Mass - Kilogram

2). Length - meter

3). Time - Seconds

4). Electric Current - Ampere

5). Amount of substance - Moles

6). Intensity of light - Candela

7). Temperature - Kelvin

What is the velocity of a quarter dropped from a tower after 10 seconds?

Answers

u = 0, the initial vertical velocity

Assume g = 9.8 m/s² and ignore air resistance.

Use the formula
v = u + gt
where v =  vertical velocity after t seconds.
That is,
v = 0 + (9.8 m/s²)*(10 s) = 98.0 m/s

Answer: 98.0 m/s

Final answer:

To find the velocity of a quarter dropped from a tower after 10 seconds, we use the formula for velocity in free fall, resulting in a final velocity of 100 m/s.

Explanation:

The question is about determining the velocity of a quarter dropped from a tower after 10 seconds. To solve this, we use the formula for velocity in free fall, v = gt, where g is the acceleration due to gravity (approximated as 10 m/s²) and t is the time in seconds. In this case, after 10 seconds, the velocity can be calculated as follows:

g = 10 m/s² (approximation of the acceleration due to gravity)

t = 10 seconds

Substitute the values into the formula: v = gt = 10 m/s² × 10 s = 100 m/s.

Therefore, the velocity of the quarter after falling for 10 seconds is 100 m/s.

What is the major role of the Nuclear Regulatory Commission? Monitoring and regulating nuclear waste generated and issues associated to it in the US. Stopping nuclear research in other countries. Preventing a nuclear attack on the US. Investigating new uses for nuclear materials in the US.

Answers

The correct answer is A) Monitoring and regulating nuclear waste generated and issues associated to it in the US. Hope this helps.

A fugitive tries to hop on a freight train traveling at a constant speed of 5.0 m/s. Just as an empty box car passes him, the fugitive starts from rest and accelerates at a = 3.8 m/s2 to his maximum speed of 8.0 m/s.

Answers

Let d =  distance that the fugitive travels to get on the train.

Let t =  the time to travel the distance d.
The fugitive starts from rest accelerates at a = 3.8 m/s².
Therefore
(1/2)*(3.8 m/s²)*(t s)² = (d m)
1.9 t² = d                      (1)

The train travels at constant speed  5.0 m/s.
Therefore
(5.0 m/s)*(t s) = d    
5t = d                          (2)

If the fugitive successfully boards the train, then equate (1) and (2).
1.9t² = 5t
t = 0 or t = 2.6316 s
Ignore t = 0, so t = 2.6316 s.

The speed of the fugitive after 2.6316 s, is
v = (3.8 m/s²)*(2.6316 s) = 10 s

This speed exceeds the maximum speed of the fugitive, therefore the fugitive fails to get on the train.

Answer: The fugitive fails to get on the train.

A. The time to catch up to the empty box car is about 2.8 s

B. The distance traveled to reach the box car is about 14 m

Further explanation

Acceleration is rate of change of velocity.

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

Given:

Acceleration of car = a = 3.8 m/s²

Initial Velocity of car = u = 0 m/s

Velocity of train = vt = 5.0 m/s

Unknown:

A . Time Taken = t = ?

B. Distance = d = ?

Solution:

Question A:

Firstly, we calculate for the distance traveled by the car until it reaches a maximum speed of 8 m / s.

[tex]v^2 = u^2 + 2ad_1[/tex]

[tex]8^2 = 0^2 + 2(3.8)d_1[/tex]

[tex]64 = 7.6d_1[/tex]

[tex]\boxed {d_1 = \frac{160}{19} ~ m}[/tex]

Next , we find time taken for the car to reach this maximum speed

[tex]v = u + a t[/tex]

[tex]8 = 0 + 3.8t'[/tex]

[tex]t' = 8 \div 3.8[/tex]

[tex]\boxed {t' = \frac{40}{19} ~ s}[/tex]

When trains and cars meet, then

[tex]d_{train} = d_{car}[/tex]

[tex]v_t \times t = d_1 + v_{max} \times (t - t')[/tex]

[tex]5t = \frac{160}{19} + 8(t - \frac{40}{19})[/tex]

[tex]5t = \frac{160}{19} + 8t - \frac{320}{19}[/tex]

[tex]5t = -\frac{160}{19} + 8t[/tex]

[tex]8t - 5t = \frac{160}{19}[/tex]

[tex]3t = \frac{160}{19}[/tex]

[tex]t = \frac{160}{19} \div 3[/tex]

[tex]t = \frac{160}{57} ~ s[/tex]

[tex]\large {\boxed {t \approx 2.8 ~ s} }[/tex]

Question B:

[tex]d_{car} = -\frac{160}{19} + 8t[/tex]

[tex]d_{car} = -\frac{160}{19} + 8 \times \frac{160}{57} [/tex]

[tex]d_{car} = \frac{800}{57} ~ m[/tex]

[tex]\large {\boxed {d_{car} \approx 14 ~ m} }[/tex]

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Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

A------turns about a fixed point called a fulcrum.

Answers

it's a [tex]lever[/tex]

Answer:

lever

Explanation:

A ball is tossed upward from a tall building, and its upward velocity v in feet per second, is a function of time t, in seconds, since the ball was thrown. the formula is v(t)=80-32t if we ignore air resistance. express using functional notation the velocity 4 seconds after the ball is thrown and then calculate that value. is the ball rising or falling then?

Answers

To calculate the velocity after 4 seconds, just simply use the given equation by substituting t=4 seconds. That would be 

v(4) = 80 - 32(4) = -48 m/s

Velocities are vector quantities. It means that the bearing of the sign matters with respect to the direction of the motion. In conventional terms, negative vectors point downwards or to the left. Positive vectors point upward or to the right. Since the velocity has a negative sign, the ball must be falling downwards.

Displacement vs distance

Answers

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position
Final answer:

Distance is the length of the path traveled, while displacement is the straight-line distance between the initial and final position, considering both magnitude and direction.

Explanation:

Distance is the length of the path traveled by an object, while displacement is the straight-line distance from the initial to the final position, regardless of the path taken. Displacement includes both magnitude and direction, whereas distance only considers magnitude.

For example, if a person walks 5 meters to the east and then 3 meters to the west, their displacement would be 2 meters to the east, as it considers the overall change in position. However, the total distance traveled would be 8 meters, as it accounts for the entire path traveled.

It is important to note that displacement is a vector quantity, meaning it has both magnitude and direction, while distance is a scalar quantity with only magnitude.

A 5kg block of iron is heated to 800degree C.it is placed in a tub containing 2litre of water at 15degree C.Assuming all the water is brought to the boil rapidly calculate the mass of water which boile off.

Answers

Final answer:

To calculate the mass of water that evaporates, we apply energy conservation between the heated iron block and the water. Heat transfers from the iron to the water until the water boils and some evaporates. Specific heat capacities and latent heat values are needed for a numerical solution.

Explanation:

To calculate the mass of water that boiled off when a 5kg block of iron is heated to 800℃ and placed in a tub containing 2 liters of water at 15℃, we apply the concept of conservation of energy. The heat lost by the iron block will be equal to the heat gained by the water, which will result in water reaching its boiling point and some of it evaporating. The specific heat capacity of water, the heat of vaporization of water, and the specific heat capacity of iron are crucial to these calculations.

We can denote the mass of water that evaporates as m, and calculate the heat required to raise the temperature of the remaining water from 15℃ to 100℃ and convert the m grams of water at 100℃ into steam. However, we need additional data such as the specific heat capacities and the latent heat of vaporization for water to provide a concrete answer. Without the specific values, we can only describe the methodology.

The leader of a bicycle race is traveling with a constant velocity of +12.60 m/s and is 11.4 m ahead of the second-place cyclist. the second-place cyclist has a velocity of +9.20 m/s and an acceleration of +1.50 m/s2. how much time elapses before he catches the leader?

Answers

Let the time be t.

so,In time t , distance travelled by 1st cyclist = 12.6 t

distance travelled by 2nd cyclist = 9.2t + 0.5 (1.5) t^2

Now, cyclist 1st is already 11.4 m ahead of 2nd cyclist.

so, 9.2t + 0.5 (1.5) t^2  = 11.4 + 12.6t

find t :

t =  6.77 sec

Final answer:

The problem is a high school level physics kinematics question. It requires setting up two kinematic equations representing the motion of both cyclists and solving for the time when the second cyclist catches up.

Explanation:

The student is asking about the time it will take for a second cyclist to catch up to the leader in a race, given the leader's constant velocity and the second-place cyclist's velocity and acceleration. This is a physics problem involving kinematics, specifically equations of motion.

To solve this problem, you need to set the distances traveled by both cyclists equal to each other and solve for time. Since the first cyclist is moving at a constant velocity, the distance he travels can be represented by d1 = v1*t, where d1 is the distance, v1 is the velocity, and t is time. For the second cyclist with acceleration, you can use the formula d2 = v2*t + 0.5*a*t2, where d2 is the distance, v2 is the initial velocity, a is the acceleration, and t is the time.

Since the second cyclist has to cover an additional 11.4 m to catch up, we modify the equation for d2 to d2 = v2*t + 0.5*a*t2 + 11.4. Now you set d1 equal to d2 and solve for t using quadratic formula or other methods to find when both distances are the same, indicating the second cyclist has caught up.

Other Questions
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