Chapter 2, Problem 2TS

What is your average speed if you run $50\text{m}$ in $10\text{s}$? Show that the distance you’d travel at this speed for $1\text{ minute}$ would be $300\text{m}$.

To determine

The average speed and the distance travelled.

Answer to Problem 2TS

The average speed is $s=5\text{m}/\text{s}$ and the distance travelledis $d=300\text{m}$ .

Explanation of Solution

Given info: Distance covered is $50\text{m}$ and time taken is $10\text{s}$.

Write the expression for average speed.

$s=\frac{d}{t}$

Here,

$d$ is the total distance covered

$t$ is the total time taken

Substitute $50\text{m}$ is $d$ and $10\text{s}$ for $t$ in the above expression to get $s$.

$\begin{array}{c}s=\frac{50\text{m}}{10\text{s}}\\ s=5\text{m}/\text{s}\end{array}$

Write the expression for the distance covered.

$d=s\times t$

Here,

$s$ is the speed

$t$ is the time

Substitute $1\text{minute}$ for $t$ and $5\text{m}/\text{s}$ for $s$ in the above expression to get $d$.

$\begin{array}{l}\text{Distance}=5\text{m}/\text{s}\times \left(1\text{minute}\times \frac{60\text{seconds}}{1\text{minute}}\right)\\ \text{Distance}=300\text{m}\end{array}$

Conclusion:

Therefore, the average speed is $s=5\text{m}/\text{s}$ and the distance covered is $d=300\text{m}$.