Question

A car travels along a straight road. It starts from rest and accelerated in two stages....

A car travels along a straight road. It starts from rest and accelerated in two stages. Each stage takes the same amount of time. In the first stage, the car speeds up with acceleration 3.0 m/s^2. At the end of the second stage, the cars velocity magnitude is 2.5 times greater than it is at the end of the first stage. Find the acceleration magnitude in the second stage.

Homework Answers

Answer #1

Consider the first stage

Given that the car starts from rest and speeds up with an acceleration of

Use formula

------(1)

===================

Given that both stages take the same amount of time.

At the end of the 2nd stage, the velocity is 2.5 times greater than it is at the end of first stage

--------(2)

===================

Consider the second stage

Use formula

Put (2) in the above equation

Put (1) in the above equation

ANSWER:

=======================

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A car starts from a state of rest and drives along a level, straight road. For...
A car starts from a state of rest and drives along a level, straight road. For the first 30 s, the car speeds up with a constant acceleration of 2.50 m/s 2 , after which it continues at the constant velocity that it has acquired for the next 5.00 minutes, at which time the brakes are applied, and there is an acceleration of -2.2 m/s 2 until the car stops. What is the total displacement of the car from its...
A race car starts from rest and travels east along a straight and level track. First...
A race car starts from rest and travels east along a straight and level track. First part of the motion the car’s velocity is given by 13 m/s after which it starts to accelerate. What is the acceleration of the car if it reaches to a velocity of 46.12 m/s after 19 s.
A car starts from rest and travels east with an acceleration of 4x10^-3 m/s^2. Another car...
A car starts from rest and travels east with an acceleration of 4x10^-3 m/s^2. Another car travels toward west at a constant speed of 70kph. The two cars are 100-km apart. Find (a) the time it takes for the two cars to meet and (b) the time it takes for them to be 100-km apart for the second time.
A car is traveling along a straight road at a velocity of +35.0 m/s when its...
A car is traveling along a straight road at a velocity of +35.0 m/s when its engine cuts out. For the next ten seconds the car slows down, and its average acceleration is a1. For the next five seconds the car slows down further, and its average acceleration is a2. The velocity of the car at the end of the fifteen-second period is +24.2 m/s. The ratio of the average acceleration values is a1/a2 = 1.78. Find the velocity of...
A car starts from rest and travels for 8.0 s with a uniform acceleration of +1.8...
A car starts from rest and travels for 8.0 s with a uniform acceleration of +1.8 m/s2. The driver then applies the brakes, causing a uniform acceleration of -2.0 m/s2. If the brakes are applied for 3.0 s, determine each of the following. (a) How fast is the car going at the end of the braking period? (b) How far has it gone?
Suppose that a car starts from rest its engine providing an acceleration of 10gt/s while air...
Suppose that a car starts from rest its engine providing an acceleration of 10gt/s while air resistance provides 0.1 ft/s^2 of deceleration for each foot per second of the cars velocity Find b) Find how long it takes the car to attain 90% of its limiting velocity and how far it travels while doing so
Consult Interactive Solution 2.22 before beginning this problem. A car is traveling along a straight road...
Consult Interactive Solution 2.22 before beginning this problem. A car is traveling along a straight road at a velocity of +39.7 m/s when its engine cuts out. For the next 2.18 seconds, the car slows down, and its average acceleration is . For the next 6.86 seconds, the car slows down further, and its average acceleration is . The velocity of the car at the end of the 9.04-second period is +20.2 m/s. The ratio of the average acceleration values...
A car starts from rest and travels for 7.5 s with a uniform acceleration of +2.8...
A car starts from rest and travels for 7.5 s with a uniform acceleration of +2.8 m/s2. The driver then applies the brakes, causing a uniform acceleration of −2.5 m/s2.If the brakes are applied for 1.0 s, determine each of the following. (a) How fast is the car going at the end of the braking period? m/s (b) How far has the car gone? m
a car starts from rest and travels 8.0s with a uniform acceleration of +2.0 m/s^2. the...
a car starts from rest and travels 8.0s with a uniform acceleration of +2.0 m/s^2. the driver then applies the brakes, causing a uniform acceleration of -3.0 m/s^2. if the brakes are applied for 5.0s, determine each of the following. a. how fast is the car going at the end of the braking period? b. how far has the car gone?
A taxi driver starts his car from rest and drives at a constant speed of 13.5...
A taxi driver starts his car from rest and drives at a constant speed of 13.5 m/s along a straight road toward the west. After driving for 10.0 s, the car reaches a sharp turn in the road and now travels in the direction of 53.5° south of west. Immediately after turning, the taxi driver slows down his car at 1.22 m/s2 in order to stop and pick up a passenger. It takes 7.00 s for the car to stop...