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A boat-man can row a boat to make it move at a speed of , in still water. The river flows steadily at the rate of , and the width of the river is . If the boat-man to across the river along with the minimum distance of approach then the time elapsed in rowing the boat will be:

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Important Questions on Kinematics
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A bird is flying towards the south with a velocity and a train is moving with a velocity towards the east. What is the velocity of the bird with respect to an observer on the train?

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A bird is flying at a speed of in the north direction. A train is moving at a speed of in the west direction. A passenger sitting in the train will see the bird moving with velocity:

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A particle is moving with a velocity of towards the east. After its velocity changes to towards north. Its average acceleration is

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A man is walking on a road with a velocity of when suddenly, it starts raining velocity of rain is in a vertically downward direction, the relative velocity of the rain with respect to man is:

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Two particles are separated by a horizontal distance as shown in the figure. They are projected as shown in the figure with different initial speeds. The time after which the horizontal distance between them becomes zero is:

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Let and represent the positions of particles and , respectively, as functions of time ; and are in and is in . The relative speed of the two particles at the instant , will be

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A river wide is flowing at the rate of . The minimum time taken by a boat to cross the river with a speed (in still water) is approximately

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A river wide is flowing at the rate of . A boatman who can row a boat at a speed of in still water goes a distance of upstream and then comes back. The time taken by him to complete his journey is
