The average velocity is the rate of the distance function over time
The average velocity over the interval [1, 3] is 8 kilometers per hour
How to determine the average velocity?
The distance function is given as:
d(t) = 8(t³ - 6t² + 12t)
The interval is given as: [1,3]
Calculate d(1) and d(3)
d(3) = 8(3³ - 6 * 3² + 12 * 3)
Evaluate
d(3) = 72
d(1) = 8(1³ - 6 * 1² + 12 * 1)
Evaluate
d(1) = 56
The average velocity (v) is the calculated as:
v = (d(3) - d(1))/(3 - 1)
Substitute known values
v = (72 - 56)/(3 - 1)
Evaluate
v = 8
Hence, the average velocity over [1, 3] is 8 kilometers per hour
Read more about velocity at:
https://brainly.com/question/4931057
