A river is flowing towards east with a velocity of 5 m s-1. The boat velocity is 10 m s-1. The boat crosses the river by shortest path. Hence,

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The direction of boat's velocity is 30o west of north

The direction of boat's velocity is north-west.

Resultant velocity is 53ms−1.

Resultant velocity of boat is 52ms−1.

answer is A.

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Detailed Solution

For angle θ in west of north, sin⁡θ=510=0.5, i.e., θ=30∘Vr = resultant velocity =102−(5)2=53ms−1So, options (1) and (3) are correct.

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