1. The problem statement, all variables and given/known data A firework is shot from the ground at a speed of 50 m/s and an angle of 45 degrees. At its highest point it blows up in to two pieces due to internal forces. One piece (.25 mass) falls straight down to the ground below the explosion, where does the second piece land? 2. Relevant equations 3. The attempt at a solution So first i used the equation of finding max height of projectile. h=Vo^2sin^2(theta)/(2g) h=63.7105 m So then i would take the potential energy at the time of the explosion (mgh) and set it equal to the kinetic energies of the two pieces after the explosion? What would the velocity be of the falling mass? the x component of the velocity, zero?