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: 56

Answer

31 s

Work Step by Step

Let's take, Your velocity relative to the ground = $V_{YG}$ Your velocity relative to the speed ramp = $V_{YR}$ Speed ramp's velocity relative to the ground = $V_{RG}$ Since you walk with respect to the ramp at the same rate that you walk on the ground, we can write, $V_{YR}=\frac{105\space m}{75\space s}=1.4\space s $ We know that, $V_{YG}=V_{YR}+V_{RG}$ ; Let's plug known values into this equation. $V_{YG}=1.4\space m/s+2\space m/s=3.4\space m/s$ Desired time = $\frac{d}{yV_{YG}}=\frac{105\space m}{3.4\space m/s}=31\space s$
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