1. The problem statement, all variables and given/known data A firecracker explodes at a height of 100 m above level ground. It breaks into a large number of very small fragments, which move in every direction; all of them have the same initial velocity of 20 m/s. We assume that the fragments move without air resistance, in a uniform gravitational field with g=9.81 m/s^2. Find the volume (in m^3) of the region through which the fragments move before reaching the ground. Give your answer rounded to four decimal places. 3. The attempt at a solution So this is a projecteuler question I thought I could with pen and paper but it seems much more complicated than I thought. The initial shape of the explosion is a sphere but since there is gravity, the shape kind of distorts. What kind of math would I need to know to solve this question?