Joe Homerun hits the ball with an initial velocity of 110 mph and at angle of elevation of 35 degrees. Graph the path of the flight of the ball. With bases loaded, a full count, and two out in the bottom of the ninth, Joe's team is down two runs. Joe makes contact with the next pitch giving it a 116 mph initial velocity and a 25 degree angle of elevation. The ball heads directly towards center field where the 10 foot fence is 404 ft from home plate.
Home plate is located at the origin.
If the ball is hit with an initial velocity of 110 mph and an angle of elevation of 30 degrees, describe the home run zone in terms of an acute angle, a, with vertex at home plate and which is measured from the first base line, i.e. a is 0 degrees at the first base line and 90 degrees at the third base line. Assume the fence is 10 feet tall. Fenway Park in Boston is the home of the legendary Green Monster, a 37 foot high wall in left field. The distance from home plate to the outfield fence is 315 feet down the third baseline. For example, Riverfront Stadium in Cincinnati is 330 feet down the third baseline.