Q2. In a 4x100 m relay race, the total track length is 200 m, and the time taken by one particular group is 50.2 s.

What is the average speed and average velocity of that group?

A " 4 x 100 m " race means that four runners each run 100 meters, for a total of 400 meters ... very close to a quarter mile.
On a 200-meter track, each runner does halfway around the track, and the whole team of four runners does twice around the track.
This team did the whole thing in 50.2 seconds. The average time for each runner was 50.2/4 = 12.55 seconds. The average speed of each runner was (400 meters)/(50.2 seconds) = 7.968 m/s .
Velocity is a speed and a direction. We have the speed, leaving only the puzzle of what to do about the 'average' direction.
Here's a sneaky but easy way to dispense with the whole issue: Define the average velocity (vector) as (total displacement vector)/(total time).
Since the fourth runner finished in exactly the same spot as the first runner began, the total displacement is zero , and therefore so is the average velocity.

Answered by AL2006 | 2024-06-10

The average speed of the relay group is approximately 7.968 m/s, while the average velocity is 0 m/s due to the total displacement being zero.
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Answered by AL2006 | 2024-10-14