Answer
$s=\displaystyle \frac{t^{3}}{3}+t+1$
Work Step by Step
The given information is that $s(0)=1$
$s(t)=\displaystyle \frac{t^{3}}{3}+t+C\qquad $ insert the given data to find $C$
$1=0+0+C$
$C=1$
Thus,
$s=\displaystyle \frac{t^{3}}{3}+t+1$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 13 - Section 13.1 - The Indefinite Integral - Exercises - Page 960: 61b
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