A shell, fired from a cannon, has a muzzle speed (the speed as it leaves the barrel) of 800 ft/s. The barrel makes an angle of 45o with the horizontal and, for simplicity; the barrel opening is assumed to be at ground level.
(a) Find parametric equations for the shell's trajectory relative to the coordinate system.
(b) How high does the shell rise?
(c) How far does the shell travel horizontally?
(d) What is the speed of the shell at its point of impact with the ground?