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Q.

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200 m, with the same velocity of 25 m/s. When and where will the two bullets collide? (g = 10 m/s2)

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a

They will not collide

b

After 2 s at a height of 180 m

c

After 2 s at a height of 20 m

d

After 4 s at a height of 120 m

answer is B.

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Detailed Solution

Let bullets collide at time tx1+x2=100m25t + 25t = 100t = 2 sy=12gt2=12×10×22  = 20h = 200 – 20 = 180 mHence bullets will collide after 2 s at height 180 m above the ground.
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