a swimmer crosses the river along the line making an angle 45 degree with direction of flow of river .if velocity of river is 5m/s and he take 6 seconds to cover 60 m wide river then find the velocity of swimmer w.r.t. to river.
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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
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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