The distance-time graph shows the cheetah's journey. The problem asks for the cheetah's velocity between 5 seconds and 15 seconds.

1. Problem Description

The distance-time graph shows the cheetah's journey. The problem asks for the cheetah's velocity between 5 seconds and 15 seconds.

2. Solution Steps

The velocity is calculated as the change in distance divided by the change in time.

$$\text{velocity} = \frac{\text{change in distance}}{\text{change in time}}$$

From the graph:

At $t_1 = 5$ seconds, the distance $d_1$ is approximately 125 meters.

At $t_2 = 15$ seconds, the distance $d_2$ is approximately 200 meters.

The change in distance is $d_2 - d_1 = 200 - 125 = 75$ meters.

The change in time is $t_2 - t_1 = 15 - 5 = 10$ seconds.

$$\text{velocity} = \frac{75}{10} = 7.5 \text{ m/s}$$

3. Final Answer

The velocity of the cheetah between 5 and 15 seconds is 7.5 m/s.