### 05 Dec

Solution:

Momentum is conserved only in the X direction since there is the force of gravity in the Y direction.Initial momentum in X direction = (M + m)v |

**Final momentum**

**For final momentum**

Velocity of bullet with respect to car in *X* – direction = *v*_{2 }cos (alpha)

Assume the recoil velocity of car = v_{1}

Velocity of bullet with respect to O = v_{1} + v_{2}cos (alpha)

Total final momentum along X – direction = m(v_{1} + v_{2} cos (alpha)) + Mv_{1}

==> *v*_{1}(*M* + *m*) = (*M* + *m*) *v* – *mv*_{2} cos (alpha)

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