Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 4 - Two-Dimensional Kinematics - Problems and Conceptual Exercises - Page 104: 15

Answer

$\textbf{(a)}$ Distance: $L=9.9\text{ m}$. $\textbf{(b)}$ $AB=1\text{ m}$.

Work Step by Step

$\textbf{(a)}$ Your distance from the second base is the same as your distance from the point $A$ which is the same as the distance that the ball travels in the horizontal direction. Because the horizontal component of the velocity is constant $v_h=22\text{ m/s}$ then this distance is $$L=v_h\cdot t=22\text{ m/s }\cdot0.45\text{ s}=9.9\text{ m}.$$ $\textbf{(b)}$ The vertical drop is due to gravitational acceleration: $$AB=\frac{1}{2}gt^2=\frac{1}{2}\cdot9.81\text{ m/s}^2\cdot0.45^2\text{ s}^2=1\text{ m}.$$
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