Chapter 4.1, Problem 18PPE

(a)

To determine

To explain: whether the graph below is a reasonable representation of how the speed might change for the rider of the blue bike.

Explanation of Solution

Given information:

Given graph

  

Calculation:

Consider the below graph, In this graph $x$ axis represent travelling time for blue bike and $y$ axis represents blue bike’s speed.

  

This graph does not represent speed of blue bike. According to the graph speed is constant for some time and then increases as time progresses and then ultimately again goes constant. But according to the picture, speed of blue bike will decrease while climbing the slope which is not depicted by the above graph. Thus, the graph does not represent how the speed of the blue bike will change.

(b)

To determine

To sketch: two graphs that could represent a bike’s speed over time, and to sketch one graph for the blue bike, and the other for the red bike.

Explanation of Solution

Given information:

Given graph

  

Calculation:

Graph for blue bike is as follows-

In this graph $x$ axis represents time and $y$ axis represents speed.

  

Graph for red bike is as follows-

In this graph $x$ axis represents time and $y$ axis represents speed.