Calculus (3rd Edition)

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

Chapter 5 - The Integral - 5.6 Net Change as the Integral of a Rate of Change - Exercises - Page 268: 14

Answer

$a(t_2-t_1)$

Work Step by Step

let $a(t) = a$ Let $[t_1,t_2]$ be the time interval so $v(t_2)-v(t_1)$ = $\int_{t_1}^{t_2} a dt$ = $a(t_2-t_1)$
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