1. A baseball with mass m and initial height I: above the ground is hit, giving it an initial speed \"1 at angle 6 above the horizontal. There is a fence of height H a horizontal distance D away. a. Sketch the ball's trajectory assuming that it just clears the top of the fence and hits the ground a horizontal distance d past the base of the fence. Label your sketch with all given variables, and include your choice of ? ? coordinate system. NOTE: The top of the fence is not at the vertex ofthe parabolic motion. (3 marks) Derive a formula for the minimum 121 such that the ball just clears the top of the fence. (5 marks) Calculate v] given: m = 140. g, 6 = 50.0\" , h = 110. cm, D = 45.0 m, H = 10.0 m. This answer and all answers below are numerical. [1 mark) For 171 in part c., calculate the balls speed and direction [angle relative to the horizontal) as it passes over the top of the fence. (4 marks) For the "121 in part c., calculate d (the horizontal distance past the base ofthe fence where the ball hits the ground). (4 marks) An outfielder is standing in an open doorway at the base of the fence, directly under the ball's trajectory. Just as the batter hits the ball, the outfielder begins running at a constant speed in a straight line under the ball's trajectory. For the \"[21 in part c., calculate how fast the outfielder must run to catch the ball just as it hits the ground