   Chapter 4.9, Problem 75E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in 5 seconds?

To determine

To find: The acceleration that is required to increase the speed.

Explanation

Given:

Speeds of car are 30mih and 50mih, and time is 5 seconds.

Formula Used:

The expression for acceleration function a(t) is given by,

a(t)=v(t) (1)

Here, v(t) is first derivative of velocity function v(t).

Anti-derivative of tn is tn+1n+1 and 1 is t.

Calculation:

The initial velocity is 30mih, that is,

v(0)=30mih=30(52803600)fts{1mih=52803600fts}=44fts

The final velocity is 50mih at 5 seconds, that is,

v(5)=50mih=50(52803600)fts{1mih=52803600fts}=2203fts

Consider the expression for acceleration (a(t))

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