A particle `P` is projected with velocity `u_1` at an angle of `30^@` with the horizontal. Another particle `Q` is thrown vertically upwards with velocity `u_2` from a point vertically below the highest point of path of `P`. Determine the necessary condition for the two particles to collide at the highest point.
.

Options

A. 2
B. `sqrt((3)/(2))`
C. 0.5
D. 1

Answer

C

Explanation

( c) Vertical component of both should be same.
`v_2 = v_1 sin 30^@ rArr (v_2)/(v_1) = (1)/(2) = 0.5`.