College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 4 - Problems - Page 149: 38

Answer

After 1.40 seconds have elapsed, the ball is on the ground a horizontal distance of 42.0 meters away.

Work Step by Step

We can find the vertical position after $1.40~s$: $y = y_0+\frac{1}{2}at^2$ $y = 9.60~m+\frac{1}{2}(-9.80~m/s^2)(1.40~s)^2$ $y = 0~m$ We can find the horizontal position after $1.40~s$: $x = v_x~t$ $x = (30~m/s)(1.40~s)$ $x = 42.0~m$ After 1.40 seconds have elapsed, the ball is on the ground a horizontal distance of 42.0 meters away.
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