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 - Page 63: 9

Answer

See the graph below:

Work Step by Step

We have here two stages of motion. In the first stage the particle is moving at zero acceleration from $t=0$ s to $t=2$ s. Noting that the acceleration from the $v-t$ graph is given by the slope. Thus, $$a_{x1}=\dfrac{v_{x2}-v_{x1}}{t_2-t_1}=\dfrac{2-2}{2-0}=\color{red}{\bf 0}\;\rm m/s^2$$ And, $$a_{x2}=\dfrac{v_{x2}-v_{x1}}{t_2-t_1}=\dfrac{4-2}{4-2}=\color{red}{\bf 1}\;\rm m/s^2$$
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