Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at t=0 seconds. The velocity of the rocket is recorded for selected values of t over the interval 0 <(or = to) t <(or = to) 80 seconds, as shown in the table below.(adsbygoogle = window.adsbygoogle || []).push({});

t (seconds) 0 10 20 30 40 50 60 70 80

v(t) ft/sec 5 14 22 29 35 40 44 47 49

a) Find the average acceleration of rocket A over the time interval 0 <(or = to) t <(or = to) 80 . Indicate units of measure.

(I did this one :D)

b) using correct units, explain the meaning of "the integral of 10 to 70 of v(t)dt" in terms of the rocket's flight. Use a midpoint Riemann sum with 3 subintervals of equal length to approximate "the integral of 10 to 70 of v(t)dt".

I honestly have no idea how part 2 of this works, and if you could, explain pt 1 of this question also.

c) Rocket B is launched upward with an acceleration of a(t) = 3/sq root(t + 1) feet per second per second. At time t = 0 seconds, the initial height of the rocket is 0 feet, and the initial velocity is 2 ft / second. Which of the 2 rockets is traveling faster at time t = 80 seconds? explain your answer.

yeah clueless on part c as well, help would be much appreciated =)

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# Help on 2 previous AP Calc AB test questions

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