# Exploration: Graphing Velocity

- Author:
- Erica Ballou

- Topic:
- Difference and Slope

## Exploration 1

The pink line (B) is fixed. The blue and green lines (C and D) are dynamic.
Move the blue and green lines to observe how the slope of the line relates to the velocity of the object.

## The pink line (B) is fixed. Use it to answer questions 1-5.

1. What is the distance traveled by object B?

2. How long did it take object B to reach its end point?

Recall the velocity formula: v=d/t. 3. Using the velocity formula, what is the velocity of B?

Use the graph to make estimates about data that was not collected in class. 4. How far would object B go in 24 seconds?

5. How long would it take for object B to travel 15 meters?

## Using the blue and green lines (C and D) to explore.

6. What is the relationship between the slope (steepness) of the line and the velocity of the object?

## Exploration 2

Click and drag point R to explore the relationship between the variables - distance and time - as they relate to the velocity.

## Wyoming Mathematics Standards

6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.
6.EE.G Represent and analyze quantitative relationships between dependent and independent variables.
6.EE.G.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity (dependent variable), in terms of the other quantity (independent variable). Analyze their relationship using graphs and tables, and relate these to the equation.