Question

Modify the mathematical ball-and-tower-model expression, h(t) = -16 t2+ v t + s, assuming a perfectly elastic collision, so that it works for all time t > 0. Implement in Excel or Python. Execute and plot your new expression in 1-second intervals from t = 0 to t = 300 sec. Use v = 100 and s = 1000 and Execute and plot again using v = 0 and s = 2000.

Answer 1

t	h(t)
0	1000
10	400
20	-3400
30	-10400
40	-20600
50	-34000
60	-50600
70	-70400
80	-93400
90	-119600
100	-149000
110	-181600
120	-217400
130	-256400
140	-298600
150	-344000
160	-392600
170	-444400
180	-499400
190	-557600
200	-619000
210	-683600
220	-751400
230	-822400
240	-896600
250	-974000
260	-1054600
270	-1138400
280	-1225400
290	-1315600
300	-1409000