Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 2 - Kinematics in One Dimension - Exercises and Problems: 54

Answer

The car's velocity at t = 0 was 21 m/s

Work Step by Step

Let $v_1$ be the velocity at t = 4.0 s. We can use the 1.0-second time interval from t = 4.0 s to t = 5.0 s to find $v_1$. Therefore; $\Delta y = v_1~t+\frac{1}{2}at^2$ $30~m = v_1(1.0~s)+\frac{1}{2}(2.0~m/s^2)(1.0~s)^2$ $v_1 = 29~m/s$ We can find $v_0$: $v_0 = v_1-at$ $v_0 = 29~m/s-(2.0~m/s^2)(4.0~s)$ $v_0 = 21~m/s$ The car's velocity at t = 0 was 21 m/s.
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