Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 4 - Motion in Two and Three Dimensions - Problems - Page 93: 136c

Answer

$x = 86.5~m$ $y = 25.1~m$

Work Step by Step

We can find the horizontal displacement from home plate at $t = 4.50~s$: $x = v_x~t$ $x = (33.53~m/s)~(cos~55.0^{\circ})(4.50~s)$ $x = 86.5~m$ We can find the height $y$ at $t = 4.50~s$: $y = y_0+v_{0y}~t+\frac{1}{2}a_y~t^2$ $y = (0.762~m)+(33.53~m/s)~(sin~55.0^{\circ})(4.50~s)+\frac{1}{2}(-9.8~m/s^2)~(4.50~s)^2$ $y = 25.1~m$
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