A swimmer crosses the river along the line making

Asked by admin @ 20/08/2021 in Physics viewed by 284 People

A swimmer crosses the river along the line making an angle 45 degree with the direction of flow of river. if velocity of river is 5m/s and time taken by him is 6 seconds to cross width of river 60m. then find the velocity of swimmer w.r.t. to river

Answered by admin @ 20/08/2021

Let the river flow along y direction with a velocity of 5 j m/s.
Let the swimmer crossover along the vector: i + j (at 45°)
displacement of swimmer just after crossing = 60 i + 60 j meters

The speed of swimmer wrt to stationary observer
= (60 i + 60 j) / 6 m/s = 10 i + 10 j m/s

velocity of swimmer relative to the river = 10 i + 10 j - 5 j
= 10 i + 5 j m/s

magnitude of velocity relative to river = 5√5 m/s

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A swimmer crosses the river along the line making

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