9. [5/6 Points] DETAILS PREVIOUS ANSWERS MY NOTES A major league baseball pitcher throws a pitch that follows these parametric equations: x(t) = 141t y(t) = -16t2 + 5t + 5. The time units are seconds and the distance units are feet. The distance between the location of the pitcher and homeplate (where the batter stands) is 60.5 feet. Give EXACT answers, unless instructed otherwise. (a) Calculate the horizontal velocity of the baseball at time t; this is the function x'(t) = 141 ft/sec. (b) What is the horizontal velocity of the baseball when it passes over homeplate? | 141 ft/sec (c) What is the vertical velocity of the baseball at time t; this is the function y'(t)= -32t + 5 ft/sec. (d) Recall that the speed of the baseball at time t is s(t)=V [x '(t)]2 + Ly ' (t)]? ft/sec. What is the speed of the baseball (in mph) when it passes over homeplate? 96.315697 mph. X (e) At what time does the baseball hit the ground, assuming the batter and catcher miss the ball? 0.737 sec. (f) What is the magnitude of the angle at which the baseball hits the ground? 0.130978 rad. (This is the absolute value of the angle between the tangential line to the path of the ball and the ground. Give your answer in radians to three decimal places.)