University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 2 - Motion Along a Straight Line - Problems - Exercises - Page 60: 2.28

Answer

(a) $a = 1.7~m/s^2$ (b) It would take 12 seconds to travel the length of the ramp. (c) The traffic would move 240 meters.

Work Step by Step

(a) We can calculate the acceleration. $a = \frac{v^2-v_0^2}{2x} = \frac{(20~m/s)^2-0}{(2)(120~m)} = 1.7~m/s^2$ (b) $t = \frac{v-v_0}{a} = \frac{20~m/s-0}{1.7~m/s^2} = 12~s$ It would take 12 seconds to travel the length of the ramp. (c) $x = vt = (20~m/s)(12~s) = 240~m$ The traffic would move 240 meters.
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