College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 2 - Kinematics: Description of Motion - Learning Path Questions and Exercises - Exercises - Page 60: 14

Answer

a). $average \,velocity = \frac{final \,position - initial \,position}{time\, difference}$ So, for AB, average velocity = $\frac{1-1}{1-0}=0\, m/s$ for BC, average velocity = $\frac{7-1}{3-1}=3\, m/s$ for CD, average velocity = $\frac{9-7}{4.5-3}=1.33\, m/s$ for DE, average velocity = $\frac{7-9}{6-4.5}=-1.33\, m/s$ for EF, average velocity = $\frac{2-7}{9-6}=-1.67\, m/s$ for FG, average velocity = $\frac{2-2}{11-9}=0\, m/s$ for BG, average velocity = $\frac{2-1}{11-1}=0.1\, m/s$ b). A motion is uniform only when rate of change of position is constant with time, which happens in AB and FG, Rest BC,CD,DE,EF,FG are non-uniform. c). Since the tangent at D has zero slope, the instantaneous velocity at D = 0.

Work Step by Step

a). $average \,velocity = \frac{final \,position - initial \,position}{time\, difference}$ So, for AB, average velocity = $\frac{1-1}{1-0}=0\, m/s$ for BC, average velocity = $\frac{7-1}{3-1}=3\, m/s$ for CD, average velocity = $\frac{9-7}{4.5-3}=1.33\, m/s$ for DE, average velocity = $\frac{7-9}{6-4.5}=-1.33\, m/s$ for EF, average velocity = $\frac{2-7}{9-6}=-1.67\, m/s$ for FG, average velocity = $\frac{2-2}{11-9}=0\, m/s$ for BG, average velocity = $\frac{2-1}{11-1}=0.1\, m/s$ b). A motion is uniform only when rate of change of position is constant with time, which happens in AB and FG, Rest BC,CD,DE,EF,FG are non-uniform. c). Since the tangent at D has zero slope, the instantaneous velocity at D = 0.
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