Question

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in the following table.

t h(t)
0 0
1 20
2 28
3 33
4 28
5 20
6 0

What is the rocket's average rate of change from 3≤t≤6 in yards/second?

Answer 1

-11 yards per second

Explanation:

The average rate of change over an interval is the ratio of the change in function value to the length of the interval:

(h(6) -h(3))/(6 -3) = (0 -33)/3 = -11 . . . . yards/second