Projectile Motion Write a program to provide information on the height of a ball thrown straight up into the air. The program should request as input the initial height, h feet, and the initial velocity, v feet per second. The height of the ball after t seconds is h + vt - 16t2 feet. The program should perform the following two calculations: (a) Determine the maximum height of the ball. Note: The ball will reach its maximum height after v/32 seconds. (b) Determine approximately when the ball will hit the ground. Hint: Calculate the height after every .1 second and determine when the height is no longer a positive number. A function named getInput should be used to obtain the values of h and v and that function should call a function named isValid to ensure that the input values are posi- tive numbers. Each of the tasks (a) and (b) should be carried out by functions. See Fig. 4.35.