Answer
$$s(t) = 16t^2+20$$
Work Step by Step
Given $v(t) =32t$, $s(0)=20$
Since
\begin{align*}
s'(t)&=v(t)\\
s(t)&=\int v(t)dt\\
&=\int 32t dt\\
&=16t^2+c
\end{align*}
Since $s(0)=20$, then $c=20$, and
$$s(t) = 16t^2+20$$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 4 - Integration - 4.2 The Indefinite Integral - Exercises Set 4.2 - Page 279: 41
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
