Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 12 - Kinematics of a Particle - Section 12.2 - Rectilinear Kinematics: Continuous Motion - Problems - Page 17: 8

Answer

a) $240$ mm b) $60$ mm/s c) $20$ mm/s^2

Work Step by Step

$s=10t^2+20$ a) $s|_{1s}=10(1)^2+20=30$ mm $s|_{5s}=10(5)^2+20=270$ mm $\Delta s = 270-30=240$ mm b) $\Delta t = 5-1=4$ s $v_{avg}=\frac{\Delta s}{\Delta t}=\frac{240}{4}=60$ mm/s c) $a=\frac{d^2s}{dt^2}=20$ mm/s$^2$
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