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A man is crossing a river flowing with velocity of 5 m s-1. He reaches a point directly across at a distance of 60 m in 5 s. His velocity in still water should be

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Important Questions on Motion in a Plane

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A boat which has a speed of 5 km h-1 in still water crosses a river of width 1 km along the shortest possible path in 15 min. The velocity of the river water (in km h-1) is
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For four particles A,B,C and D, the velocities of one with respect to others are given as, VDC is 20 m s-1 towards north, VBC is 20 m s-1 towards east and VBA is 20 m s-1 towards south. Then VDA is
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A man crosses the river perpendicular to river flow in time t seconds and travels an equal distance down the stream in T seconds. The ratio of the man's speed in still water to the speed of river water will be

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Rain is falling vertically downwards with a velocity of 3 km h-1. A man walks in the rain with a velocity of 4 km h-1. The raindrops will appear to be falling on the man with a velocity of
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An aeroplane takes off from Mumbai to Delhi with the velocity 50 km h-1 in north-east direction. The wind is blowing at 25 km h-1 from north to south. What is the resultant displacement of the aeroplane in 2 h?
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A boat is moving with a velocity 3i^+4j^ with respect to the ground. The water in the river is flowing with a velocity 3i^4j^ with respect to the ground. The velocity of the boat relative to the water is
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A boy can swim in still water at 1 m s-1. He swims across a river flowing at 0.6 m s-1 which is 336 m wide. If he travels in the shortest possible time, then what time does he take to cross the river?
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A man can swim in still water with a speed of 2 m s-1. If he wants to cross a river with water current speed 3 m s-1 along the shortest possible path, then in which direction should he swim?