A cannot ball is fired with a velocity 200m / sec at an angle of 60° with the horizontal. At the highest point of its flight it explodes into 3 equal fragments, one going vertically upwards with a velocity 100 m / sec , the second one falling vertically downwards with a velocity 100 m / sec . The third fragment will be moving with a velocity

Options

A. `100 ms^(-1)` in the horizontal direction
B. `300 ms^(-1)` in the horizontal direction
C. `300 ms^(-1)` in a direction making an angle of `60^(@)` with the horizontal
D. `200 ms^(-1)` in a direction making an angle of `60^(@0` with the horizontal

Answer

B

Explanation

`p_(i) = p_(f)` (at highest point)
`(3m)(100hat(i)=m(100hat(j)-m(100hat(j)+m(v)`
`v = 300hat(i)`(of third part)