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Question

# A river 400 m wide is flowing at a rate of 2.0 m/s. A boat is sailing at a velocity of 10.0 m/s with respect to the water, in a direction perpendicular to the river. How far from the point directly opposite to the starting point does the boat reach the opposite bank?

A
0 m
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B
40 m
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C
403 m
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D
80 m
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Solution

## The correct option is D 80 m Here θ is zero As it is given that boat is sailing in a direction normal to current. Crossing velocity of boat is =10 m/s So time taken by the boat to reach the other bank is =40010=40 s Drift due to flow of river is = Drift velocity×time to cross the river Here boat is sailing in normal direction so drift velocity is the river current velocity. Thus, drift is x=2×40=80 m

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