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Earn 100

Two tall buildings face each other and are at a distance of 180m from each other. With what velocity must a ball be thrown horizontally from a window 55m above the ground in one building, so that it enters a window 10m above the ground in the second building ? (g=10 m/s2)

Important Questions on Kinematics

MEDIUM
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IMPORTANT
Two paper screens A and B are separated by a distance of 100 m. A bullet pierces A and then B. The hole in B is 10 cm below the hole in A. If the bullet is travelling horizontally at the time of hitting the screen A, calculate the velocity of the bullet when it hits the screen A. Neglect the resistance of paper and air.
HARD
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A ball is thrown from the top of a tower with an initial velocity of 10 m s-1 at an angle of 30° with the horizontal. If it hits the ground at a distance of 17.3 m from the base of the tower, the height of the tower is (Take g=10 m s-2 )
MEDIUM
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Two trains A and B each of length 50 m, are moving with constant speeds. If one train A overtakes the other in 40s, while crosses the other in 20s. Find the speeds of each train.
HARD
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Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
MEDIUM
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IMPORTANT
A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m/s. How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of 5 m/s and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands?
EASY
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A man ’A moves in the north direction with a speed 10 m/s and another man B moves in E–30°–N with 10 m/s. Find the relative velocity of B w.r.t. A.
MEDIUM
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IMPORTANT
A and B are moving with the same speed 10 m/s in the directions E–30°–N and E–30°-S respectively. Find the relative velocity of A w.r.t. B.
HARD
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IMPORTANT

Two bodies A and B are 10 km apart such that B is to the south of A. A and B start moving with the same speed 20 km/hr eastward and northward respectively then find. N

Question Image
(a) relative velocity of A w.r.t. B. W/ E
(b) minimum separation attained during motion
(c) time elapsed from starting, to attain minimum separation.