Points `A` and `C` are on the horizontal ground and `A` and `B` are in same vertical plane at a distance of `1500 m`. Simultaneously bullets are fired from `A,Bll` and `C` and they collide at `O`. The bullets at `B` is fired at an angle of `30^(@)`with horizontal towards the ground iat velocity `100 m//s`. the bullet at `C` is projected vertically upwards at velocity of `100 m//s`. the bullet projected from `A` reaches its maximum height at `O`.

Find the time in which bullets will collide (seconds ):

Answer

A

Explanation

Let us be the velocity of bass A is 2.0 m
`2.0=(usintheta)t-(1)/(2)gt^(2)`
For bullet C vertical distance travelled `=usin30^@t+(1)/(2)gt` ..(i)
For bullet C, vertical distance travelled
`d=u^(`)t-(1)/(2)gt^(2)`
From equation (i) and (ii),
`usin30^@t+u^(`)t=1500`
`50t+100t=1500` which gives `t=10` sec