Question

If a projectile is fired with an initial velocity v at an angle of inclination ‑ from the horizontal, then its trajectory, neglecting air resistance, is the parabola

(a) Suppose the projectile is fired from the base of a plane that is inclined at an angle , , from the horizontal, as shown in the figure. Show that the range of the

projectile, measured up the slope, is given by

(b) determine so that R is maximum.

(c) Suppose the plane is at an angle below the horizontal.Determine the range R in this case, and determine the angle at which the projectile should be fired to maximize R.