If you have swam one lap in a swimming pool, that means you have swam from one e

Question

If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 5 h, a swimmer makes exactly 56 laps in a swimming pool that is 46 m long. Determine the distance the swimmer traveled, the total displacement of the swimmer, the swimmer's average velocity, and the swimmer's average speed.

If instead, the swimmer makes 56.5 laps in the same pool in 5 h, determine the total distance the swimmer traveled, the swimmer's total displacement, the swimmer's average velocity, and the swimmer's average speed.

Explanation / Answer

First, 1 lap = 2 x 46 = 92m
A) Simply 92 x 56 = 5152m

B) Displacement here would be 0m since the swimmer returns to the point of origin

C) Velocity is a function of displacement and time, since displacement = 0
v = 0m/s

D) The swimmer has travelled 5152m in 5 hours
= 5152m in 18000 s
speed = distance/time
= 5152/18000
= 0.28622 m/s

E) 56.5 x 92 = 5198m

F) The swimmer is half a lap away from the point of origin

= 1 pool length

= 46m

G) velocity = displacement/time

= 46/18000

= 0.002556 m/s

H) speed = 5198/18000

= 0.28878 m/s

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