Question

A ball is kicked up in the air from the ground. The height of the ball can be modeled as a function of time in seconds. This function is represented on the graph below. Enter the average rate of change for the height of the ball, measured as feet per second, between 0 seconds and 2 seconds._[blank]_ feet per secondEnter your answer as a number, like this: 42

Answer 1

2

Explanation:

The average rate of change is given by the following formula:

`r=(f(b)-f(a))/(b-a)`

Since it is between 0 and 2 seconds, the values of a and b will be these respectively, the evaluated values can be determined by the graph, therefore:

`\begin{gathered} r=(4-0)/(2-0)=(4)/(2) \\ \\ r=2\text{ feet pe second } \end{gathered}`

The average rate of change is equal to 2 feet per second