Write a program that simulates a bouncing ball by computing its height in feet at each second as time passes on a simulated clock. At time zero, the ball begins at height zero and has an initial velocity supplied by the user. (An initial velocity of at least 100 feet per second is a good choice.) After each second, change the height by adding the current velocity; then subtract 32 from the velocity. If the new height is less than zero, multiply both the height and the velocity by −0.5 to simulate the bounce. Stop at the fifth bounce. The output from your program should have the following form:

Enter the initial velocity of the ball: 100
Time: 0 Height: 0.0
Time: 1 Height: 100.0
Time: 2 Height: 168.0
Time: 3 Height: 204.0
Time: 4 Height: 208.0
Time: 5 Height: 180.0
Time: 6 Height: 120.0
Time: 7 Height: 28.0
Bounce!
Time: 8 Height: 48.0
. . .