University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 3 - Motion in Two or Three Dimensions - Problems - Exercises - Page 96: 3.47

Answer

The pilot should release the canister a horizontal distance of 274 meters from the target.

Work Step by Step

We can find the time $t$ it takes to reach the ground. $y = \frac{1}{2}gt^2$ $t = \sqrt{\frac{2y}{g}} = \sqrt{\frac{(2)(90.0~m)}{9.80~m/s^2}}$ $t = 4.286~s$ We can find the horizontal distance $x$. $x = v_x~t = (64.0~m/s)(4.286~s) = ~m$ $x = 274~m$ The pilot should release the canister a horizontal distance of 274 meters from the target.
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