   Chapter 2, Problem 62AP

Chapter
Section
Textbook Problem

An object is moving in the positive direction along the x-axis. Sketch plots of the object’s position vs. time and velocity vs. rime if (a) its speed is constant, (b) it’s speeding up at a constant rate, and (c) it’s slowing down at a constant rate.

(a)

To determine
Position versus time graph for constant speed and velocity versus time graph for constant speed.

Explanation

The slope of a position versus time graph is constant and positive if the speed is constant.

When the speed is constant, the position of the object changes constantly with time. Velocity is the rate of change of the position. The slope of the position versus time graph will be constant for the constant speed.

The slope of velocity versus time graph is zero if the velocity is zero.

The velocity is constant. Therefore, the graph will move parallel to the time axis with a constant velocity...

(b)

To determine
Position versus time graph for speeding up with constant rate and Velocity versus time graph for speeding up with constant rate.

(c)

To determine
Position versus time graph for slowing with constant rate and velocity versus time graph for slowing down with constant rate.

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