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Two aeroplanes fly from their respective positions A and B, starting at the same time and reach point C simultaneously when the wind was not blowing. On a windy day, they head towards C, but both reach point D simultaneously at the same time which they took to reach C. Then, the wind is blowing in

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Important Questions on Kinematics

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A man who is wearing a hat of an extended length of 12 cm, is running in rain falling vertically downwards with a speed of 10 m s-1. The maximum speed with which the man can run so that the raindrops do not fall on his face (the length of his face below the extended part of the hat is 16 cm) will be
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JEE Main/Advance
IMPORTANT
A man is going up in a lift (open at the top) moving with a constant velocity of 3 ms-1. He throws a ball up at 5 ms-1, relative to the lift. When the lift is 50 m above the ground, what would be the height of the lift when the ball meets it?
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IMPORTANT
A retarding force is applied to stop a train. The train stops after 80 m. If the speed is doubled, then the distance travelled when the same retarding force is applied is
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JEE Main/Advance
IMPORTANT
A man walks 40 m north then, 30 m east and then 40 m south. Find the displacement from the starting point(in m and towards east).
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Which of the following sets of displacements might be capable of bringing a car to its returning point?
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A hunter at the bottom of a slant hill is trying to shoot a deer on a hill. The distance of the deer along his line of sight is 10181 m and the height of the hill is 90 m. His gun has a muzzle velocity of 100 m s-1. Minimum how many meters above the deer should he aim his rifle in order to hit it? g=10 m s-2
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A stone is thrown in such a manner that it would just hit a bird at the top of a tree and afterwards reach a maximum height double that of the tree. If at the moment of throwing the stone the bird flies away horizontally with constant velocity and the stone hits the bird after some time. The ratio of the horizontal velocity of stone to that of the bird is 1n+1n. Find 2n.
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If 4 s be the time in which a projectile reaches a point P of its path and 5 s the time from P till it reaches the horizontal plane passing through the point of projection. The height of P above the horizontal plane (in m ) will be,

g=9.8 m sec-2