A projectile is fired from the top of a conical mound of height h and base radius a. What is the least projection speed that will allow the projectile to clear the mound? [Make use of the parabola of safety.]
A mortar gun is placed on the summit of a conical hill of height 60 m and base diameter 160 m. If the gun has a muzzle speed of 25 m s-1, can it shell anywhere on the hill? [Take g = 10 m s-2.]