A model rocket has upward velocity
v(t) = 39t^2
ft/s, t seconds after launch. Use a left Riemann sum with n = 10 to estimate how high the rocket is 2 seconds after launch.
Any help would be appreciated!
v(t) = 39t^2
ft/s, t seconds after launch. Use a left Riemann sum with n = 10 to estimate how high the rocket is 2 seconds after launch.
Any help would be appreciated!
-
n=10:
0: 0 × 0.2 = 0
1: 1.56 × 0.2 = 0.312
2: 6.24 × 0.2 = 1.248
3: 14.04 × 0.2 = 2.808
4: 24.96 × 0.2 = 4.992
5: 39 × 0.2 = 7.8
6: 56.16 × 0.2 = 11.232
7: 76.44 × 0.2 = 15.288
8: 99.84 × 0.2 = 19.968
9: 126.36 × 0.2 = 25.272
Total: 88.92
0: 0 × 0.2 = 0
1: 1.56 × 0.2 = 0.312
2: 6.24 × 0.2 = 1.248
3: 14.04 × 0.2 = 2.808
4: 24.96 × 0.2 = 4.992
5: 39 × 0.2 = 7.8
6: 56.16 × 0.2 = 11.232
7: 76.44 × 0.2 = 15.288
8: 99.84 × 0.2 = 19.968
9: 126.36 × 0.2 = 25.272
Total: 88.92