A soccer player stands atop a hill shaped like a perfect hemisphere with radius R = 6.00 m. The player kicks a ball, initially at rest at the top of the hill, such that the ball's velocity v, is horizontal, as shown in the figure below. (a) Find the minimum initial speed of the ball (in m/s) if it is never to hit the hill after being kicked. m/s (b) Using this initial speed, find the distance x (in m) from the base of the hill where the ball hits the ground