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A runner makes one lap around a 200-m track in a time of 25 s. What were the runner’s average speed and average velocity?

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A runner makes one lap around a 200-m track in a time of 25 s. What were the runner’s average speed and average velocity?

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Solution 1

The average speed of a runner is calculated by dividing the total distance travelled by the total time taken. In this case, the runner has travelled 200 m in 25 s. So, the average speed is 200 m / 25 s = 8 m/s.

The average velocity of a runner is calculated by dividing the displacement by the total time taken. In this case, since the runner ends up at the same place he started after making one lap around the track, the displacement is 0 m. So, the average velocity is 0 m / 25 s = 0 m/s.

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Solution 2

The average speed of a runner is calculated by dividing the total distance travelled by the total time taken. In this case, the runner has travelled 200 m in 25 s. So, the average speed is:

Average speed = Total distance / Total time = 200 m / 25 s = 8 m/s

The average velocity of a runner is calculated by dividing the displacement by the total time taken. In this case, since the runner ends up at the same point he started, the displacement is 0 (as displacement is the shortest distance from the initial to the final position, and in this case, they are the same). So, the average velocity is:

Average velocity = Displacement / Total time = 0 m / 25 s = 0 m/s

So, the runner's average speed was 8 m/s and his average velocity was 0 m/s.

This problem has been solved

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