Question

Please hurry i need an answer

Answer 1

A I need 20 characters to send it is A

Answer 2

`-(11)/(6)\ (inches)/(second)`

Explanation:

Rate of Change

The average velocity is defined as the rate of change of the distance with respect to time. The table shows the distances of an object as a function of time.

It's required to find the average velocity between 8 s and 20 s.

The rate of change can be approximated as the slope between two points. We take from the table the points (8,32) and (20,10) and calculate the slope.

The slope can be calculated with the equation:

`\displaystyle v=(d_2-d_1)/(t_2-t_1)`

`\displaystyle v=(10-32)/(20-8)=(-22)/(12)`

Simplifying:

`\displaystyle v=-(11)/(6)`

Choice: B.
`\mathbf{-(11)/(6)\ (inches)/(second)}`