Calculus Answer Check

Rocket A has a 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 certain values of t over the interval 0 <= t <= 80 seconds, as shown below.

t(seconds),v(t)(ft/sec) = (0,5),(10,14),(20,22),(30,29),(40,35),(50,40),(60,44),(70,47),(80,49)

Use right riemann sums and three equal intervals to find the average value of the function on the interval [0,70].

I made three intervals from 10 to 30, 30 to 50, and 50 to 70. Taking the values on the right (30,50,70) I made a riemann sum as 20(v(30) + v(50) + v(70)) and got 2320.

2320/60=39.3

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  1. good numbers, but what about [0,10]?

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  2. Oops, the question asks to find the average on [10,70].

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