Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.5 Higher Derivatives - Exercises - Page 136: 45

Answer

a) $-5.12$ $m/s$ b) $-7.25$ $m/s$

Work Step by Step

a) $v(t)$ = $-\sqrt {\frac{m}{k}[a(t)+9.8]}$ $a(t)$ = $-4.9$ $v(t)$ = $-\sqrt {\frac{75}{14}[-4.9+9.8]}$ = $-5.12$ $m/s$ b) $a(t)$ = $0$ $v(t)$ = $-\sqrt {\frac{75}{14}[0+9.8]}$ = $-7.25$ $m/s$
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