Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - Review Exercises - Page 158: 51

Answer

Velocity of the object $= 11$ m s$^{-1}$ and acceleration of the object is $= -6$ m s$^{-2}$.

Work Step by Step

1. Find $v(3)$ $v(t) = 20 - t^{2}$ $v(3) = 20 - (3)^{2}$ $= 20 - 9$ $= 11$ m s$^{-1}$ 2. Find $a(3) = v'(3)$ $v'(t) = -2t$ $a(3) = -2(3)$ $= -6$ m s$^{-2}$
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