Firecracker
January 01, 2011
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/s2.
Find the volume (in m3) of the region through which the fragments move before reaching the ground. Give your answer rounded to four decimal places.
Written by gamwe6 who lives and works in San Francisco building useful things. You should follow him on Twitter