## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 1 - Problems - Page 21: 59

#### Answer

(a) The vertical axis intercept is 3.0 km The slope is $1.56~km/h$ (b) The vertical axis intercept means that the starting position is 3.0 km from the origin. The slope of $1.56~km/h$ means that the object moves in the positive x-direction at a speed of $1.56~km/h$

#### Work Step by Step

(a) On the graph, we can see that when t = 0, the vertical axis intercept is 3.0 km. We can use the points (0, 3.0) and (9.0, 17.0) to find the slope: $m = \frac{17.0~km-3.0~km}{9.0~h - 0~h} = 1.56~km/h$ The slope is $1.56~km/h$ (b) The vertical axis intercept means that the starting position is 3.0 km from the origin. The slope of $1.56~km/h$ means that the object moves in the positive x-direction at a speed of $1.56~km/h$

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