University Physics with Modern Physics (14th Edition)

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

Chapter 2 - Motion Along a Straight Line - Problems - Exercises - Page 61: 2.42

Answer

(a) Height of the building is $17.68 \space m$. (b) Brick strikes the ground with speed $18.62 \space m/s$. (c) Acceleration, velocity and position vs time graphs will be as shown in figure-

Work Step by Step

(a) From $s=ut+\frac{1}{2}at^2$ (taken downward direction to be positive) $\Rightarrow h=0\times t+\frac{1}{2}gt^2=0+\frac{1}{2}\times9.8\times1.90^2\approx17.68 \space m$ So height of the building is $17.68 \space m$. (b) From $v=u+at$ $\Rightarrow v=0+gt$ $\Rightarrow v=9.8\times 1.90=18.62 \space m/s$ So, brick strikes the ground with speed $18.62 \space m/s$. (c) Taken $y=0$ at the ground and upward direction as positive $y$, acceleration, velocity and position vs time graphs will be as shown in figure-
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