   Chapter 2, Problem 33P

Chapter
Section
Textbook Problem

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?

(a)

To determine

The acceleration experienced by the car.

Explanation

Given Info: The initial velocity of the car is 0, the final velocity of the car is 24.0m/s, and the time taken is 2.95s.

The formula used to calculate the acceleration of the car is,

a=vfviΔt

Here,

Δt is the time

vf is the final velocity of the car

vi is the initial velocity of the car

a is the acceleration of the car

Substitute 0 for vi, 24.0m/s for vf, and 2

(b)

To determine

The time required to travel the distance.

(c)

To determine

The change in speed with doubling the time.

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