Projectile Motion In Exercises 81 and 82, consider a projectile launched at a height h feet above the ground and at an angle _ with the horizontal. When the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations
Baseball
The center field fence in a ballpark is 10 feet high and 400 feet from home plate.
The ball is hit 3 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour.
(a) Write a set of parametric equations for the path of the ball
(b) Use a graphing utility to graph the path of the ball when . Is the hit a home run?
(c) Use a graphing utility to graph the path of the ball when . Is the hit a home run?
(d) Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run.
