Title: Riemann Sums Introduction Pre-Video Questions
Course: Calculus Videos Project > Section: Riemann Sums Introduction

Q: Madison decides to go for a run before school. She starts her run from home. The function expresses the relationship between Madison's velocity (in meters per minute) as she runs and the number of minutes elapsed since she started running.
What does the product approximate?
- The average rate of change of Madison's velocity over a particular interval.
- Madison's acceleration over a particular interval.
- The change in Madison's distance away from home over a particular interval.
- Madison's distance away from home after having a run for minutes.
- Madison's instantaneous velocity at a particular moment in time.
A: The change in Madison's distance away from home over a particular interval.

Q: Madison decides to go for a run before school. She starts her run from home. The function expresses the relationship between Madison's velocity (in meters per minute) as she runs and the number of minutes elapsed since she started running.
What does the area of the blue rectangle on the graph of the function below represent?
- Madison's average velocity over the interval of time from t=3 to t=4.
- Madison's distance away from home 3 minutes after she started running.
- The velocity at which Madison runs over the interval of time from t=3 to t=4.
- Madison's acceleration over the interval of time from t=3 to t=4
- The change in Madison's distance away from home over the interval of time from t=3 to t=4.
A: The change in Madison's distance away from home over the interval of time from t=3 to t=4.

Q: Madison decides to go for a run before school. She starts her run from home. The function expresses the relationship between Madison's velocity (in meters per minute) as she runs and the number of minutes elapsed since she started running.
What does the sum approximate?
- Madison's distance away from home after having run for 3 minutes
- The average rate of change of Madison's velocity over the interval of time from t=0 to .
- The change in Madison's distance away from home over the interval of time from t=0 to t=6.
- Madison's distance away from home after having run for 2.5 minutes.
- Madison's acceleration over the interval of time from t=0 to t=6.
A: Madison's distance away from home after having run for 3 minutes