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

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after 2s at a height of 20 m

after 4s at a height of 120 m

after 2s at a height 180 m

they will not collide

answer is A.

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Detailed Solution

Let bullets collide at time t
x₁ + x₂ =100m
25t + 25t = 100
t = 2s
$y = \frac{1}{2} {gt}^{2} = \frac{1}{2} \times 10 \times 2^{2} = 20 m$
h = 200 − 20 =180m
Hence bullets will collide after 2 s at height 180 m above the ground.

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