Answer:
a. 30 meters per second
b. -10 meters per second
Step-by-step explanation:
a. Average rate of change for the height from 0 to 6.6 secs can be calculated using the formula, [tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Thus,
Where,
[tex] a = 0, H(0) = 0 [/tex]
[tex] b = 6.6, H(6.6) = 198 [/tex]
Plug in the values into the formula:
[tex] m = \frac{198 - 0}{6.6 - 0} [/tex]
[tex] m = \frac{198}{6.6} [/tex]
[tex] m = 30 [/tex]
b. Average rate of change for the height from 8.8 to 13.2 secs = tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Where,
[tex] a = 8.8, H(8.8) = 44 [/tex]
[tex] b = 13.2, H(13.2) = 0 [/tex]
Plug in the values:
[tex] m = \frac{0 - 44}{13.2 - 8.8} [/tex]
[tex] m = \frac{-44}{4.4} [/tex]
[tex] m = -10 [/tex]
