Question

Carl runs one complete lap around an outdoor track with a length of 400 meters in 100 seconds. His average speed is _____, and his average velocity is _____.

Answer 1

Given:

The length of the outdoor track is: l = 400 m

The time taken to complete one complete lap around the track is: t = 100 s

To find:

The average speed and the average velocity

Step-by-step explanation:

The average speed of an object is defined as the total distance covered by an object divided by the total time it took to complete that distance. It is given as:

`v=(d)/(t)`

Here, d is the total distance covered by Carl and t is the total time he took to complete the total distance d.

Substituting the values in the above equation, we get:

`\begin{gathered} v=\frac{400\text{ m}}{100\text{ s}} \\ \\ v=4\text{ m/s} \end{gathered}`

Now, the average velocity of an object is defined as the displacement of an object divided by the total time it took to displace from its initial position.

As Carl runs one complete lap around an outdoor track, after one round he returns to his original initial position from where he had started running. Thus, the displacement D of the Carl will be zero.

Thus, D = 0 m

The average velocity V is calculated as:

`V=(D)/(t)`

Substituting the values in the above equation, we get:

`\begin{gathered} V=\frac{0\text{ m}}{100\text{ s}} \\ \\ V=0\text{ m/s} \end{gathered}`

Final answer:

Thus, the average speed of Carl is 4 m/s and his average velocity is 0 m/s.