Consider a projectile launched at a height h feet above the ground and at an angle with the horizontal. When the initial velocity is feet per second, the path of the projectile is modeled by the parametric equations
and
Baseball
The center field fence in a ballpark is feet high and feet from home plate.
The ball is hit feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 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.
