A shell is fired from a cannon with a velocity `v (m//s)` at an angle `theta` with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. on, of the pieces retraces its path to the cannon and the speed, (in `m//s`) of the other piece immediately after the explosion is

Options

A. `3 v cos theta`
B. `2 v cos theta`
C. `3/2 v cos theta`
D. `sqrt(3/2) v cos theta`

Answer

A

Explanation

Applying conservation of linear momentum at the highes
`m(v cos theta) = m/2 xx v' - m/2 v cos theta , " " 3v cos = v'`