Consider a projectile launched at a height h feet above the ground and at an angle with the horizontal. If the initial velocity is feet per second, the path of the projectile is modeled by the parametric equations x = t(v cos()) and y = h + ( sin())t - 16t. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit h = 3 feet above the ground. It leaves the bat at an angle of 0 degrees with the horizontal at a speed of 103 miles per hour (see figure). e 400 ft h ft $10 ft (a) Write a set of parametric equations for the path of the ball. (Write your equations in terms of t and 0. Enter your answers as a comma-separated list of equations.) (b) Use a graphing utility to graph the path of the ball when 0 = 15. Is the hit a home run? Yes No (c) Use a graphing utility to graph the path of the ball when 0 = 23. Is the hit a home run? Yes No (d) Find the minimum angle (in degrees) at which the ball must leave the bat in order for the hit to be a home run. (Round your answer to one decimal place.) 16.4