Chapter 2, Problem 53R

To determine

To Find:The runner which had the greater speed.

Answer to Problem 53R

Runner 1 is faster than runner 2.

Explanation of Solution

Formula:

Average speed of an object is given by

  $s\text{=}\frac{d}{t}$  ...... (1)

Here, $s$ is speed, $d$ is distance and $t$ is time.

Calculation:

From the graph take a point at from $\text{2}\text{.5}\text{s}$ runner 1

  $\begin{array}{l}{\text{s}}_1\text{=}\frac{20\text{m}}{\text{2}\text{.5}\text{s}}\\ {\text{s}}_1=8\text{m/s}\end{array}$

From the graph take a point at from $\text{2}\text{.5}\text{s}$ runner 2

  $\begin{array}{l}{\text{s}}_2\text{=}\frac{8\text{m}}{\text{2}\text{.5}\text{s}}\\ {\text{s}}_2=3.2\text{m/s}\end{array}$

Conclusion:

Hence, the runner 1 is faster than runner 2.