You will write a simplified model of a bouncing ball using numpy. assume the ball is dropped on earth under constant acceleration g=9.81ms2 from the limit of its atmosphere, a height of 250km. model the ball's motion for one hour and 15 minutes (include second 0 and second 4,500 in your data points). after the initial state, simulate 5,000 updates to the state (for a total of 5,001 points.) your simulation should use float64 numpy arrays for time (t) and height (y). time should be represented in seconds and height should be represented in meters.