Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 3 - Kinematics in Two Dimensions - Problems - Page 76: 61

Answer

2.35 m/s

Work Step by Step

Let's take, The velocity of the raindrops relative to the train = $V_{RT}$ The velocity of the raindrops relative to the ground = $V_{RG}$ The velocity of the ground relative to the train = $V_{GT}$ So, we can write. $V_{RT}=V_{RG}+V_{GT}$ The velocity vector diagram shown in the image. Then, by using trigonometry. $tan25^{\circ}=\frac{V_{GT}}{V_{RG}}=>V_{GT}=V_{RG}tan25^{\circ}=5\space m/s\times0.47=2.35\space m/s$ Speed of the train = 2.35 m/s
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