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In: Physics

The left-field wall at a baseball park is 320 feet down the third-base line from home​...

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

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