Two particles are separated at a horizontal distance `x` as shown in (Fig. 5.57). They are projected at the same time as shown in the figure with different initial speed. Find the time after which the horizontal distance between the particles becomes zero.
.

Options

A. `(x)/(u)`
B. `(u)/(2x)`
C. `(2u)/(x)`
D. None of these

Answer

A

Explanation

`u_(x_(1))t+u_(x_(2))t=x`
`[(u)/sqrt(3)cos 30^(@)+u cos 60^(@)]t=x`
`[(u)/sqrt(3)xxsqrt(3)/(2)+(u)/(2)]t=x rArr t=(x)/(u)`