14.9. Area Under a Curve http://www.ck12.org
- Describe what is happening with the car. In particular, what is happening in the first 3 seconds?
- How far did the car travel in 5 seconds?
The following graph shows the functionf(x) =−(x− 4 )^2 +16, which represents the rate (in feet per second) vs.
time (in seconds) for a runner. - Describe what is happening with the runner. In particular, what happens after 4 seconds?
- Use rectangles to approximate the total distance (in feet) that the runner traveled in the 8 seconds. Try to get as
good an approximation as possible. - Explain how an integral is like the opposite of a derivative.