A projectile is fired from the origin down an inclined plane that makes an angle ? with the horizontal. The angle of elevation of the gun and the initial velocity of the projectile are ? and Vo, respectively.

A., Find the position vector of the projectile and the parametric equations of the path of the projectile as a function of time. (Ignore air resistance)

B. Determine the angle of elevation? that will maximize the downhill range.

C. Suppose the projectile is fired up an inclined plane whose angle of inclination is ?At what angle should the projectile be fired to maximize the uphill range?