Q1. A rocket of mass m1 and m2 is launched with a velocity that's horizontal and vertical components are ux and uy. At the highest point in its path the rocket explodes into two parts of mass m1 and m2 that separate in a horizontal direction in the original plane of motion. Explain that the fragment strike the ground at a distance apart given by d= ux/uy((2(m1+m2)k/m1m2)) where k is the kinetic energy produced by the explosion.

Neglect air resistance, the mass of explosive any spinning motion of fragment and assume g is constant.

Q2. While standing on a bridge 45m above the ground, you drop a stone from rest. When the stone has fallen 4.90m, you throw a second stone straight down. What initial velocity should you give the second stone if they are both to reach the ground at the same instant? Take downward direction to be the negative direction.