A projectile A is thrown at an angle `30^(@)` to the horizontal from point P. At the same time, another projectile B is thrown with velocity `v_(2)` upwards from the point Q vertically below the highest point A would reach. For B to collide with A the ratio `(v_(2))/(v_(1))` should be

Options

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

Answer

C

Explanation

Vertical component of velocity of A should be equal to vertical velocity of B.
or `v_(1) sin 30^(@) = v_(2)` or `(v_(1))/(2) = v_(2)`
`:. (v_(2))/(v_(1)) = (1)/(2)`