9. [/6 Paints] A major league baseball pitcher throws a pitch that follows these parametric equations: xa} : pm y(t) : 16t2 + 4: + 5. The time units are seconds and the distance units are feet. The distance between the location or the pitcher and homeplate (where the batter stands) is 60.5 feet. Give EXACI' answers, unless instructed otherwise. (a) Calculate the horizontal velocity of the baseball at time t; this is the function X'(t)= fl/sec. (b) What is the horizontal velocity of the baseball when it passes over hameplate? ft/sec (c) What is the vertical velocity of the baseball at time t; this is the function y'(t)= ft/sec. (d) Recall that the speed of the baseball at time t is s(t)=i/ [x'(l)]2 + [y mi R/sec. What is the speed of the baseball (in mph) when it passes over homeplate? mph. (e) At what time does the baseball hit the ground, assuming the batter and catcher miss the hall? sec. (i) What is the magnitude of the angle at which the baseball hits the ground' rad. ('rhis is the absolute value of the angle between the mngentiai line to the path of the ball and the ground. Give your answer in radians to three decimal places.)