The path of a projectile fired from level ground with a speed of v0 feet per second at an angle a with the ground is given by the parametric equations
x = (v0 cos α)t, y = - 16t2 + (v0 sin α)t
a. Show that the path is a parabola.
(b) Find the time of flight.
(c) Show that the range (horizontal distance traveled) is (v20/32) sin 2a.
(d) For a given vo, what value of a gives the largest possible range?