3. Write a program to provide information on the height of a ball thrown straight up into the ram should request as input the initial height, h feet, and the initial velocity, . air. T feet per second. The height of the balin feet) after t seconds is given by the formula h + vt - 16t2 feet. The five options to be provided by buttons are as follows: (a) Determine the maximum height of the ball. Note: The ball will reach its maximum (b) Determine approximately when the ball will hit the ground. Hint: Calculate the height (c) Determine approximately when the ball will begin to descend. Hint: Calculate the (d) Display a table showing the height of the ball every quarter second for five seconds or (e) Quit. height after v32 seconds. after every 1 second and observe when the height is no longer a positive number. height after every.1 second and observe when the height is no longer greater than the previous height. until it hits the ground. See Fig. 6.14 Projectile Motion Height: 5 feet) nibal Velocty 34 feet/second) Detemine Masomum HeightApproaimate Time Urtl t Hits The Ground Approxdmate Tme Urti Ball Starts Daplay Table 0.00 0.26 0.50 0.75 1.00 1.25 1.S0 1.75 2.00 2.25 Height s.0 12.6 18.0 21.S 23.0 22.S 20.0 15.5 9.0 0.5 FIGURE 6.14 Sample Output for Programming Project 3