In: Physics
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?