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This one is a little more challenging. Write a short program to simulate a ball being dropped off of a tower. To start, the user should be asked for the initial height of the tower in meters. Assume normal gravity (9.8 m/s2), and that the ball has no initial velocity. Have the program output the height of the ball above the ground after 0, 1, 2, 3, 4, and 5 seconds. The ball should not go underneath the ground (height 0). Your program should include a header file named constants.h that includes a namespace called myConstants. In the myConstants namespace, define a symbolic constant to hold the value of gravity (9.8). See section 2.9 -- Symbolic constants and the const keyword for a reminder on how to do this. Use a function to calculate the height of the ball after x seconds. The function can calculate how far the ball has fallen after x seconds using the following formula: distance fallen = gravity_constant * x_seconds2 / 2 Sample output: Enter the initial height of the tower in meters: 100 At 0 seconds, the ball is at height: 100 meters At 1 seconds, the ball is at height: 95.1 meters At 2 seconds, the ball is at height: 80.4 meters At 3 seconds, the ball is at height: 55.9 meters At 4 seconds, the ball is at height: 21.6 meters At 5 seconds, the ball is at height: 0 meters.
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