A tetherball apparatus consists of a ball attached to a 2.10 m rope that is attached in turn to the top of a 2.50 m tall pole. The ball is struck such that it moves horizontally around the pole. Immediately after the ball is struck, it moves at 3.34 m/s, and experiences a centripetal acceleration of 0.842g (where g is the acceleration due to gravity of a falling object near Earth\'s surface). If the resulting path of the ball is approximately a circle, what is the height h of the ball above the ground?