Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 2 - Kinematics in One Dimension - Problems - Page 51: 69

Answer

$-8.3\space km/h$

Work Step by Step

Here we use equation 2.4 to find the average acceleration (a) of the bus. $a=\frac{V-V_{0}}{\Delta t}-(1)$ First of all, we have to find the final and initial velocities of the bus. The slope of the position-time graph is the velocity of the bus. Each of the three segments of the graph is a straight line, so the bus has a different constant velocity for each part of the trip. Let's take them as $V_{A},V_{B},V_{C}$ We can write, $V_{A}=\frac{\Delta x_{A}}{\Delta t_{A}}=\frac{24\space km-0\space km}{1\space h-0\space h}=24\space km/h$ $V_{C}=\frac{\Delta x_{C}}{\Delta t_{B}}=\frac{27\space km-33\space km}{3.5\space h-2.2\space h}=-5\space km/h$ In here $V=V_{C},V_{0}=V_{A}$ (1)=> $a=\frac{-5\space km/h-(24\space km/h)}{3.5\space h}=-8.3\space km/h^{2}$
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