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A projectile of mass 3kg is projected wi...

A projectile of mass `3kg` is projected with velocity `50m//s` at `37^@` from horizontal. After `2s`, explosion takes place and the projectile breaks into two parts of masses `1kg` and `2kg`. The first part comes to rest just after explosion.
Find,
(a) the velocity of second part just after explosion.
(b) maximum height attained by this part. Take `g=10m//s^2`

A

`1 : 4`

B

`1 : 3`

C

`2 : 3`

D

`4 : 9`

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