Chapter 2, Problem 64A

(a)

To determine

The position- time graph of the cyclist location.

Answer to Problem 64A

The plot of the cyclist location is shown in figure (1).

Explanation of Solution

Given info:

Initial position of the cyclist, $d=250\text{m}$

Constant velocity of the of the cyclist during motion, $v=5\text{m}/\text{s}$

Total time for the travel is, $T=60\text{s}$

Interval of the time for the position time graph is, $t=10\text{s}$

Formula Used:

The function of the velocity for the position-time graph of the cyclist location is,

  $x=vt+d$

Calculation:

Substitute values in the above expression.

  $v=\left(5\text{m}/\text{s}\right)T+250\text{m}$ …..(1)

Plot the above expression for the location of the position-time graph.

  

Figure (1)

(b)

To determine

The position of the cyclist from the point A at the $60\text{s}$ .

Answer to Problem 64A

The position of the cyclist from the point A at the $60\text{s}$ is $550\text{m}$ .

Explanation of Solution

Calculation:

Substitute the values in the above expression.

  $\begin{array}{c}x=\left(5\text{m}/\text{s}\right)\left(60\text{s}\right)+250\text{m}\\ =550\text{m}\end{array}$

Thus, the position of the cyclist from the point A at the $60\text{s}$ is $550\text{m}$ .

(c)

To determine

The displacement from the starting position.

Answer to Problem 64A

The displacement from the starting position is $300\text{m}$ .

Explanation of Solution

Formula Used:

The expression to calculate the displacement from the starting position is,

  $D=x-d$

Calculation:

Substitute the values in the above expression.

  $\begin{array}{c}D=550\text{m}-250\text{m}\\ =300\text{m}\end{array}$

Thus, the displacement from the starting position is $300\text{m}$ .