The left-field wall at a baseball park is 320 feet down thethird-base line from home​ plate; the wall itself is 38 feet high.A batted ball must clear the wall to be a home run. Suppose a ballleaves the​ bat, 3 feet off the​ ground, at an angle of 45degrees.Use gequals32 ​ft/sec squared as the acceleration due to gravityand ignore any air resistance. Complete parts​ (a) through​ (d).(a) Find parametric equations that model the position of the ballas a function of time. (b) What is the maximum height of the ballif it leaves the bat with a speed of 120 miles per​ hour? Give youranswer in feet. ​(c) What is the​ ball's horizontal distance fromhome plate at its maximum​ height? Give your answer in feet. ​(d)If the ball is hit straight down the third-base​ line, will itclear the​ wall? If it​ does, by how many feet does it clear the​wall?
