   Chapter 4.9, Problem 60E ### 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

# A particle is moving with the given data. Find the position of the particle. v ( t ) = t 2 − 3 t , s(4) = 8

To determine

To find: The position of particle.

Explanation

Given data:

v(t)=t23t and s(4)=8 .

Formula Used:

Write the expression for velocity function v(t) .

v(t)=s(t) (1)

Here,

s(t) is first derivative of position function s(t) .

Calculation:

Find Antiderivative of t2 is 13t3 and t is 23t32 .

Substitute t23t for v(t) in equation (1),

s(t)=t23t

Antiderivate the expression with respect to t,

s(t)=13t33(23t32)+C

s(t)=13t32t32+C (2)

Here,

C is arbitrary constant

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