The trajectory of a ball can be computed with the equation: y = tan(theta_0) x - g/2 v_0^2 cos^2 theta_0 x^2 + y_0 where y = height of ball (meters) x = horizontal distance (meters) theta_0 = initial angle (radians) v_0 = the initial velocity (m/s) g = 9.81 m/s^2 y_0 = initial height create a function to model the height of the ball given the following parameters: theta_0 = 45 degree v_0 = 25 m/s g = 9.81 m/s^2 y_0 = 1.0 m using this function, answer the following questions on blackboard. with the golden search method and the function goldmin. m determine the maximum height of the ball(m). (note the maximum height is the minimum value of negative y.) at what x distance (m) does the ball reach a maximum height? at what x distance (m) does the ball impact the ground, assuming the ground is a flat surface? if a baseball player makes a hit with an initial ball speed of 115 mph what is the initial angle (degrees) needed for the ball to clear the green monster? assume the maximum angle allowed is 75 degree. the green monster is 37.167 feet (11.329 m) high and is located 310 feet (94 m) from home plate. if a baseball player makes a hit with an initial ball speed of 145 mph what is the initial angle (degrees) needed for the ball to clear the green monster? assume the maximum angle allowed is 75 degree. note that the ball's initial velocity must be converted into m/s. you may assume g = 9.81 m/s^2 and y_0 = 1.0 m