A rocket of mass mi + m2 is launched with a velocity whose horizontal and vertical components are ux and uy. At the highest point in its path the rocket explodes into two parts of mass mi and m₂ that separate in a horizontal direction in the original plane of motion. Show that the fragments strike the ground at a distance apart given by: D= 2(m₁ + m₂)K m₁m₂ where K is the kinetic energy produced by the explosion. (Neglect air resistance, the mass of the explosive, any spinning motion of the fragments, and assume g is constant.) NOTE: Draw the schematic diagram of the path of each part.

A rocket of mass mi + m2 is launched with a velocity whose horizontal and vertical components are ux and uy. At the highest point in its path the rocket explodes into two parts of mass mi and m₂ that separate in a horizontal direction in the original plane of motion. Show that the fragments strike the ground at a distance apart given by: D= 2(m₁ + m₂)K m₁m₂ where K is the kinetic energy produced by the explosion. (Neglect air resistance, the mass of the explosive, any spinning motion of the fragments, and assume g is constant.) NOTE: Draw the schematic diagram of the path of each part.