Fundamentals of Physics Extended (10th Edition)

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

Chapter 2 - Motion Along a Straight Line - Problems: 45a


The ball should be thrown upwards with the speed of $31 ms^{-1}$.

Work Step by Step

Step-1: We need to throw a ball with velocity $v_0 ms^{-1}$ to cover a distance of $50m$ against acceleration due to gravity, which equals $-9.8ms^{-2}$. We know that when a ball is at its maximum height, its velocity at that instant is $0ms^{-1}$, that is, $v=0ms^{-1}$. Step-2: For an ascending ball, $$v^2=v_0^2-2ax$$ $$(0)^2=v_0^2-2\times (9.8) \times 50$$ $$\implies v_0=\sqrt{980}=31.30ms^{-1} \approx 31 ms^{-1}$$
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