9.6/6 points |Previous AnswersA major league baseball pitcher throws a pitch that follows these parametric equations:x(t) =140ty(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 thebatter stands) is 60.5 feet. Give EXACT answers, unless instructed otherwise.(a) Calculate the horizontal velocity of the baseball at timet; this is the functionx'(t)=
(b) What is the horizontal velocity of the baseball when it passes over homeplate?
(c) What is the vertical velocity of the baseball at timet; this is the functiony'(t)=
(d) Recall that the speed of the baseball at timetiss(t)=√[x'(t)]2+ [y' (t)]2ft/sec.What is the speed of the baseball (inmph) when it passes over homeplate?
(e) At what time does the baseball hit the ground, assuming the batter and catcher miss the ball?