This one is giving me fits! A projectile is fired with initial speed v0 at an elevation angle of alpha up a hill of slope beta (alpha greater than beta). How far up the hill will the projectile land? At waht angle alpha will the range be a maximum? What is the maximum range? Where do I begin? How do I write (or alternately, derive) the equations of motions for this case? Normally, for a projectile fired at an angle, we divide the velocity into components and then apply equations for two-dimensional motion. But I just don't know how to approach a projectile at an angle which is fired at another angle! Any help greatly appreciated!!