A Baseball Slugger Hits a Knee-High Pitch Toward the Outfield $o$

Essay

A baseball slugger hits a knee-high pitch toward the outfield. Suppose that the position of the baseball after t seconds is given by :
x = (v $o$ cos $\alpha$ ) t, y = (v $o$ sin $\alpha$ ) t $- 16 t ^ { 2 } + h _ { o }$ where v $o$ is the velocity in feet per second at which the ball leaves the bat at an angle $\alpha$ to the horizontal and from a height h $o$ above the ground.(a) Suppose that the ball is struck 2 feet above the ground with an initial velocity of 120 ft/sec and at an angle of 35 degrees.(i) When will the ball strike the ground?
(ii) How far will the ball travel (horizontally) before it touches the ground?
(iii) What is the maximum height reached by the ball?
(iv) Will the ball clear the 10 ft tall outfield fence, which is 410 feet away from the point where the ball is struck?
(b) If the ball is struck 2 feet above the ground at an initial velocity of 120 ft/sec and at an angle of 55 degrees:
(i) When will the ball strike the ground?
(ii) How far will the ball travel (horizontally) before it touches the ground?
(iii) What is the maximum height reached by the ball?
(iv) Will the ball clear the 10' tall outfield fence, which is 410 feet away from the point where the ball is struck?