Rocket Science: When playing your favorite space simulator game, you launch your most recent attempt at a rocket from sea level. The problem is that your graphics card drivers were corrupted and the only thing you could see was the velocity and time read outs and you recorded them in the table below:
Time (s) Velocity (m/s)
0 0
20 139
40 298
60 433
80 685
100 1026
120 1279
140 1373
160 1490
180 1634
200 1800
220 1986
240 2191
260 2417
280 2651
300 2915
320 2303
340 3516
360 3860
380 4216
400 4630
420 5092
440 5612
460 6184
480 6760
500 7327
520 7581
Numerical Integration
Using Simpsons rule and Trapezoid Rule determine the rockets approximate location at times:
o 120 s
o 240 s
o 360 s
o 520 s
• Display each result (8 total) using fprintf, display or something similar
• Comment on which estimates you have think is more accurate.
Numerical Differentiation
• Using first order forward, backwards and central differencing generate plots of the acceleration of the rocket over the entire launch for a time step of 40s and a time step of 20s.
o Display Results on 2 plots with 3 curves each (20s, 40s for plots) (forward, backwards and central differencing for curves).