Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 241: 98

Answer

$1200 m/sec$.

Work Step by Step

Step 1. Given $\frac{dv}{dt}=a=20m/s^2$, we have $v(t)=20t+C$ where $C$ is a constant. Step 2. Since at $t=0, v=0$, we have $20(0)+C=0$ and $C=0$, thus $v(t)=20t$ Step 3. At $t=1min=60sec$, we have $v(60)=20(60)=1200 m/sec$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.