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A boat-man can row a boat to make it move at a speed of 10 km h-1, in still water. The river flows steadily at the rate of 5 km h-1, and the width of the river is 2 km. 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 40 km h-1 and a train is moving with a velocity 40 km h-1 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 40 km h-1 in the north direction. A train is moving at a speed of 40 km h-1 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 10 m s-1 towards the east. After 10 s its velocity changes to 10 m s-1 towards north. Its average acceleration is
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A man is walking on a road with a velocity of 3 km h-1 when suddenly, it starts raining velocity of rain is 10 km h-1 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 x 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 r1t=3ti^+4t2j^ and r2t=4t2i^+3tj^ represent the positions of particles 1 and 2, respectively, as functions of time t; r1t and r2t are in metres and t is in seconds. The relative speed of the two particles at the instant t=1 s, will be
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A river 4.0 miles wide is flowing at the rate of 2 miles hr-1. The minimum time taken by a boat to cross the river with a speed v=4 miles hr-1 (in still water) is approximately
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A river 2 km wide is flowing at the rate of 2 km h-1. A boatman who can row a boat at a speed of 4 km h-1 in still water goes a distance of 2 km upstream and then comes back. The time taken by him to complete his journey is