Question

Please help ASAP

The graph shows the distance a ball has traveled x seconds after it was thrown. What is the average speed between 2 seconds and 8 seconds. (there is a picture of the graph below)




Group of answer choices


2 meters per second


0.8 meters per second


0.5 meters per second


3meters per second


Question 2# The function below represents the height of an object when it is dropped from a height of 144 ft, where x is the number of seconds after release. What is the average speed (or average rate of change) during the first 2 seconds after release? f(x)=-16x^2+144

Rising at a rate of 32 feet per second


Falling at a rate of 32 feet per second


Falling at a rate of 144 feet per second


Rising at a rate of 80 feet per second

Answer 1

0.5

Explanation:

Answer 2

0.5 m/s

Falling at 32 feet/s

Explanation:

For the first question, since it only asks for the average time between 2 and 8 seconds, those are the only two important values. When taking the inputs and outputs for 2 and 8 seconds after the throw ((2,3) and (8,6) respectively), we can take the average change by finding the change in y/change in x, so we have (6-3)/(8-2)=0.5 meters/second.

For the second question, we can similarly just take the values from the initial drop (144) and after two seconds (80) to get that the rate of change is (144-80)/(-2)=-32, so it's falling at 32 feet/second.

Let me know if you have any questions!