Physics Technology Update (4th Edition)

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

Chapter 3 - Vectors in Physics - Problems and Conceptual Exercises - Page 79: 51

Answer

$25s$

Work Step by Step

First of all, determine your velocity relative to the walkway, that is: $\vec{v_{yw}}=\frac{\Delta x}{\Delta t}\hat x=(1.25\frac{m}{s})\hat x$ Now find your velocity relative to the ground: $\vec{v_{yg}}=\vec{v_{yw}}+\vec{v_{wg}}$ Where $\vec{v_{yg}},\vec{v_{yw}},\vec{v_{wg}}$ represent your velocity relative to the ground, relative to the walkway, and walkway relative to ground respectively. We plug in the known values to obtain: $\vec{yg}=(1.25\frac{m}{s})\hat x+(2.2\frac{m}{s})\hat x=(3.4\frac{m}{s})\hat x$ Now we can find the required time $t=\frac{\Delta x}{v_{yg}}$ $\implies t=\frac{85}{3.45}$ $t=25s$
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