Thursday, July 19, 2007

Irodov Problem 1.33

Suppose that the second cannon was fired after units of time after the first one. For collision to occur both x and y coordinates of the cannon balls must exactly be the same. Suppose that this occurs at t units of time after the first cannon ball was fired. The conditions for this are given as,

Essentially the problem boils down to solving this system of simultaneous equations (1a,1b) to obtain . I will solve them below.