Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at time seconds. The velocity of the rocket is recorded for selected values of over the integral seconds, as shown in the table above.
a. Find the average acceleration of rocket A over the time interval seconds.
b. Explain the meaning of in terms of the rocket's flight. Use a midpoint Riemann sum with 3 subintervals of equal length to approximate .
c. Rocket B is launched upward with an acceleration of feet per second per second. At time seconds, the initial height of the rocket is 0 feet, and the initial velocity is 2 feet per second. Which of the two rockets is traveling faster at time seconds? Explain.
Thanks a lot to anyone who can help on this!