Two particles `A` and `B` are projected in same vertical plane as shown in figure.Their initial positions `(t=0)`, initial spped and angle of projections are indicated in the diagram.If initial angle of projection `theta_(B)=37^(@)`, what should be initial speed of projection of particle `B`, so that it hits particle `A`.`U_(A)=60m//s`

Options

A. `80 m//s`
B. `75 m//s`
C. `40 m//s`
D. `45 m//s`

Answer

A

Explanation

`V_(rel)` in along line joining the particles `60 sin 53`
`= V_(B) sin 37 V_(B) = 80 m//s`