A man is trying to cross a river flowing a
a speed of 5 ms 1 to have least possible
displacement by swimming at an angle of
143° to the stream. The drift he suffers
when he is crossing the same river in least
possible time is (Width of river = 1 km)
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Answer:
Explanation:
=> A man is trying to cross a river flowing a speed of 5 ms 1 to have least possible displacement by swimming at an angle of 143° to the stream.
(∴ θ = 143° - 90° = 53°)
∴ U sin θ = 5
U 4/5 = 5
U = 5 * 5 / 4
= 25 / 4
=> But, the drift he suffers when he is crossing the same river in least possible time is (Width of river = 1 km)
Speed of river, v = 5
Width of river, w = 1 km = 1000 m
Δx = v * w / u
= 5 * 1000 / 25/4
= 5000 * 4 / 25
= 800 m
=> When man is crossing the river in least possible time is:
T = w/u
= 1000/25/4
= 4000/25
= 160s
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