Chapter 2.3, Problem 13PP

(a)

To determine

The time at which the car is at the $25\text{m}$ from the east of the origin.

Answer to Problem 13PP

The time at which the car is at the $25\text{m}$ from the east of the originis $4\text{s}$ .

Explanation of Solution

The position of the car is, $x=25\text{m}$ . The line drawn from the position $25\text{m}$ and parallel to the horizontal axis cuts the line of the slope corresponding to the time $4\text{s}$ .

Thus, the time for $4\text{s}$ car is at the $25\text{m}$ from the east of the origin.

(b)

To determine

The position of the car at $t=1\text{s}$ .

Answer to Problem 13PP

The position of the car at $t=1\text{s}$ is $100\text{m}$ .

Explanation of Solution

The line from the time $t=1\text{s}$ and parallel to vertical axis cuts the curve of car at position $x=100\text{m}$ .

Thus, the position of the car at $t=1\text{s}$ is $100\text{m}$ .

(c)

To determine

The displacement of the car between the times $t=1\text{s}$ and $t=3\text{s}$ .

Answer to Problem 13PP

The displacement of the car between the times $t=1\text{s}$ and $t=3\text{s}$ is $50\text{m}$ .

Explanation of Solution

Given info:

The position of the car at the time $t=1\text{s}$ is, $x_1=100\text{m}$

The position of the car at the time $t=3\text{s}$ is, $x_2=50\text{m}$ .

Formula Used:

The expression to calculate the displacement of the car is,

  $d=x_1-x_2$

Calculation:

Substitute the values in the above expression.

  $\begin{array}{c}d=100\text{m}-50\text{m}\\ =50\text{m}\end{array}$

Thus, the displacement of the car between the times $t=1\text{s}$ and $t=3\text{s}$ is $50\text{m}$ .