Thomas' Calculus 13th Edition

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

Chapter 3: Derivatives - Section 3.4 - The Derivative as a Rate of Change - Exercises 3.4 - Page 134: 14

Answer

a. $v(t)=9.8t$ b. $9.8m/s^2$

Work Step by Step

a. Given $v(t)=9.8(sin\theta) t$ m/sec, letting $\theta=90^{\circ}$, we have $sin\theta=1$ and the equation for the ball’s velocity during free fall is $v(t)=9.8t$ b. Based on the velocity equation above, we can find the acceleration as $a=v'=9.8m/s^2$
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