In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magnitude of the car's acceleration? (b) How long does it take the car to change its speed from 10.0 m/s to 20.0 m/s? (c) Will doubling the time always double the change in speed? Why?

Question

Physics

Kristopher Roy

29 November, 23:49

In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magnitude of the car's acceleration? (b) How long does it take the car to change its speed from 10.0 m/s to 20.0 m/s? (c) Will doubling the time always double the change in speed? Why?

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Brewer · Answer 1

A. The thing that needs to be found is the magnitude of the car’s acceleration. We already know that

Acceleration = Velocity/Time

= 24/2.95 m/s^2

= 8.136 m/s^2

b. Initial velocity = 10 m/s

Final velocity = 20 m/s

Let us assume the time taken = t

Then

(20 - 10) / t = 8.136

8.136t = 10

t = 10/8.136

= 1.229 seconds

c. No, doubling the time will half the speed if all other conditions remain the same.