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.
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 |
Modify the mathematical ball-and-tower-model expression, h(t) = -16 t2+ v t + s, assuming a perfectly...