In the 2016 Olympics in Rio, after the 50m freestyle competition, a problem with

Question

In the 2016 Olympics in Rio, after the 50m freestyle competition, a problem with the pool was found. In lane 1 there was a gentle 1.2 cm/s current flowing in the direction that the swimmers were going, while in lane 8 there was a current of the same speed but directed opposite to the swimmers' direction. Suppose a swimmer could swim the 50.0 m in 25.0 s in the absence of any current.

Part A-

How would the time it took the swimmer to swim 50.0 m change in lane 1?

(Enter negative value if the swimmer would be faster and positive value if the swimmer would be slower.)

Part B-

How would the time it took the swimmer to swim 50.0 m change in lane 8?

(Enter negative value if the swimmer would be faster and positive value if the swimmer would be slower.)

Explanation / Answer

speed of current,

Vc = 1.2 cm/s

= 0.012 m/s

speed of swimmer,

Vs = 50.0 m / 25.0 s

= 2.00 m/s

a)

Here, current will assist swimmer

so,

t = distance / (Vc+Vs)

= 50.0 m / (0.012 + 2.00) m/s

= 24.9 s

time difference = 24.9 - 25.0

= - 0.1 s

Answer: - 0.1 s

b)

t = distance / (Vs-Vc)

= 50.0 m / ( 2.00 - 0.012) m/s

= 25.2 s

time difference = 25.2 - 25.0

= 0.2 s

Answer: 0.2 s

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