Final answer:
The average velocity of the function s(t) = -10t² + 8t + 4 from t = 4 to t = 4h is 0 m/s.
Step-by-step explanation:
To find the average velocity of the function s(t) = -10t² + 8t + 4 from t = 4 to t = 4h, we need to calculate the change in position (or displacement) over the given time interval. The average velocity is equal to the change in position divided by the change in time. Let's calculate it:
For t = 4h, s(4h) = -10(4²) + 8(4) + 4 = -160 + 32 + 4 = -124. Therefore, r(2) = -124.
For t = 4, s(4) = -10(4²) + 8(4) + 4 = -160 + 32 + 4 = -124. Therefore, r(1) = -124.
The change in position is r(2) - r(1) = -124 - (-124) = 0. Hence, the average velocity is 0 m/s.