Question

Please help me with this question

Answer 1

a. 30 meters per second

b. -10 meters per second

Explanation:

a. Average rate of change for the height from 0 to 6.6 secs can be calculated using the formula,
`m = (H(b) - H(a))/(b - a)`

Thus,

Where,

`a = 0, H(0) = 0`

`b = 6.6, H(6.6) = 198`

Plug in the values into the formula:

`m = (198 - 0)/(6.6 - 0)`

`m = (198)/(6.6)`

`m = 30`

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,

`a = 8.8, H(8.8) = 44`

`b = 13.2, H(13.2) = 0`

Plug in the values:

`m = (0 - 44)/(13.2 - 8.8)`

`m = (-44)/(4.4)`

`m = -10`