Exploration: Graphing Velocity

Exploration 1

The pink line (B) is fixed. The blue and green lines (C and D) are dynamic.[br][br]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?

9 meters 5 meters 10 meters 7 meters 12 meters

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

10 seconds 17 seconds 12 seconds 15 seconds

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

1.04 meters/second 0.784 meters/second 1.92 meters/second 1.2 meters/second 0.833 meters/second

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

20 meters 10 meters 12 meters 18 meters

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

14 seconds 25 seconds 18 seconds 15 seconds

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?

Greater (steeper) slope = greater velocity,[br]Lower (less steep) slope = lower velocity Greater (steeper) slope = lower velocity,[br]Lower (less steep) slope = greater velocity

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.[br][br]6.EE.G Represent and analyze quantitative relationships between dependent and independent variables.[br][br]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.