MEDIUM
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Earn 100

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.

Important Questions on Kinematics

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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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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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

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(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.

MEDIUM
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IMPORTANT
Rain is falling vertically with a speed of 30 m s-1. A woman rides a bicycle with a speed of 10 m s-1 in the north to south direction. What is the direction in which she should hold her umbrella?
MEDIUM
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IMPORTANT
A man is running up hill with a velocity (2i^+3j^) m/ s w.r.t. ground. He feels that the rain drops are falling vertically with velocity 4 m/s. If he runs down hill with same speed, find vrm.
MEDIUM
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IMPORTANT

A body is projected with velocity u1 from point A as shown in the figure. At the same time, another body is projected vertically upwards with a velocity u2 from point B. What should be the value of u1u2 for both bodies to collide?

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