Chapter 2, Problem 40P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A car starts from rest and travels for t1 seconds with a uniform acceleration a1. The driver then applies the brakes, causing a uniform acceleration a2. If the brakes are applied for t2 seconds, (a) how fast is the car going just, before the beginning of the braking period? (b) How far does the car go before the driver begins to brake? (c) Using the answers to parts (a) and (b) as the initial velocity and position for the motion of the car during braking, what total distance does the car travel? Answers are in terms of the variables a1, a2, t1, and t2.

(a)

To determine
The velocity of the car distance travelled by the car before applying the break.

Explanation

Given Info: The initial velocity of the car is 0 , the first time interval is t1 , and the acceleration in first interval a1 .

Explanation:

The formula used to calculate the final velocity of the car in first interval is,

v=v0+at

Here,

t is the first interval

v is the final velocity of the car in first interval

v0 is the initial velocity of the car in first interval

a is the acceleration of the car in first interval

Substitute 0 for v0 ,

(b)

To determine
The distance travelled by the car before applying the break.

(c)

To determine
The total distance travelled by the car.

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