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Question

Two particles A and B are projected simultaneously from the towers of same height as shown in the figure with velocities VA=20 m/s and VB=10 m/s respectively. They collide in air after 0.5 seconds. Find 'x'.

A
5 m
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B
53 m
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C
53 m
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D
103 m
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Solution

The correct option is C 53 m
Relative velocity of A w.r.t B in horizontal direction, (urel)x=uAxuBx=vAcos300=vAcos30
Relative accelerartion, arel=0
(No acceleration in horizontal direction)
(Srel)=(urel)xt+12(arel)xt2
x=(vAcosθ)t+0
x=20cos30(12)
=2032×12
=53 m
So, the correct answer is option (c).

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