Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 13 - Vector Functions - 13.4 Motion in Space: Velocity and Acceleration - 13.4 Exercises - Page 918: 3

Answer

Position: $-2$i +$2$j Velocity: $-2$i+j Acceleration: $-1$i

Work Step by Step

Plug in t=2 to get the position: $-0.5t^2=-2$, $t=2$ Take the derivative to get velocity and plug in t=2: $-t=-2$, $1=1$ Take the derivative again to get acceleration: $-1=-1$, $0=0$
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