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A man is crossing a river flowing with velocity of . He reaches a point directly across at a distance of in . His velocity in still water should be



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Important Questions on Motion in a Plane
HARD
NEET
IMPORTANT
A boat which has a speed of in still water crosses a river of width along the shortest possible path in . The velocity of the river water (in ) is

MEDIUM
NEET
IMPORTANT
For four particles and , the velocities of one with respect to others are given as, is towards north, is towards east and is towards south. Then is

HARD
NEET
IMPORTANT
A man crosses the river perpendicular to river flow in time seconds and travels an equal distance down the stream in seconds. The ratio of the man's speed in still water to the speed of river water will be

MEDIUM
NEET
IMPORTANT
Rain is falling vertically downwards with a velocity of . A man walks in the rain with a velocity of . The raindrops will appear to be falling on the man with a velocity of

MEDIUM
NEET
IMPORTANT
An aeroplane takes off from Mumbai to Delhi with the velocity in north-east direction. The wind is blowing at from north to south. What is the resultant displacement of the aeroplane in ?

EASY
NEET
IMPORTANT
A boat is moving with a velocity with respect to the ground. The water in the river is flowing with a velocity with respect to the ground. The velocity of the boat relative to the water is

MEDIUM
NEET
IMPORTANT
A boy can swim in still water at . He swims across a river flowing at which is wide. If he travels in the shortest possible time, then what time does he take to cross the river?

MEDIUM
NEET
IMPORTANT
A man can swim in still water with a speed of . If he wants to cross a river with water current speed along the shortest possible path, then in which direction should he swim?
