A cannon whose muzzle is tilted upward at an angle of 30° shoots a ball at an initial velocity of 600 m/sec.
(a) Find the position vector at all times t >= 0.
(b) How much time does the ball spend in the air?
(c) How far does the cannonball travel?
(d) How high does the ball get?
(e) How far from the cannon does the ball land?
(f) What is the speed of the ball at the time of impact with the earth? Assume that the mouth of the cannon is at ground level and ignore air resistance.