Two particles A and B are projected simultaneously in the directins shown in figure with velocities `v_(A) = 20 m//s and v_(B) = 10 m//s` respectively. They collide in air after `1/2` s. Find
(a) the angle `theta`
(b) the distance x.
.

Answer

A, B, C

Explanation

(a) If they collide in air then relative velocity of A
with respect to B should be along AB or their
vertical components should be same.
`:. 20 sin theta = 10`
or `theta = 30^@`.
(b) `x = |S_A|+ |S_B|`
`=(20 cos 30^@)(t) + 0`
`= 20 xx (sqrt3)/2 xx 1/2`
`=5(sqrt3)`.