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Q.

Two particles one of mass m and the other of mass 2m are projected horizontally towards each other from the same level above the ground with velocities 10 m/s and 5m/s respectively. They collide in air and stick to each other. The distance from A, where the combined mass finally land is 
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a

45m

b

30m

c

40m 

d

20m 

answer is A.

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Detailed Solution

Relative acceleration between the two is zero therefore the relative motion between the two is uniform relative velocity of the two is (10+5) m/s or 15m/s in horizontal direction therefore the collision will take place after a  time
 t=6015=4s
Net linear momentum in horizontal direction of the two particle is zero therefore after collision the combined mass will fall vertically downwards the desired distance fro A would be 40m.

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