A projectile of mass M is thrown from the ground up with an initial speed v making an angle with horizontal. When the projectile reaches the maximum height it explodes into two pieces of masses m1 and m2 where M = m1 + m2. The explosion increases the total energy of the particles by the amount Q. Then the particles falls onto the ground with a separation D. Obtain an equation for D in terms of final mass m1, m2 Energy Q and other initial values such as speed v and angle 0.

A projectile of mass M is thrown from the ground up with an initial speed v making an angle with horizontal. When the projectile reaches the maximum height it explodes into two pieces of masses m1 and m2 where M = m1 + m2. The explosion increases the total energy of the particles by the amount Q. Then the particles falls onto the ground with a separation D. Obtain an equation for D in terms of final mass m1, m2 Energy Q and other initial values such as speed v and angle 0.