- A ball was rolled at three different velocities (speeds). The data was plotted on the graph seen below.

- __________ __________ Calculate the velocity (speed) for the bottom (solid) line on the graph.
- __________ __________ Calculate the velocity (speed) for the the middle (dashed) line one the graph.
- __________ __________ Calculate the velocity (speed) for the highest (dotted) line on the graph.
- __________ Which ball roll is the fastest: the solid, dashed, or dotted line?
- __________ Which ball roll was the slowest: the solid, dashed, or dotted line?
- __________ __________ If the ball with the dotted line rolls for five seconds, how far will the ball roll in meters?
- __________ __________ How long in seconds for the ball with the dashed line to roll 20 meters?

- The five graphs seen below plot time versus distance for a rolling ball. Time in seconds is on the x-axis. Distance in meters is on the y-axis.

- Explain what is happening with the speed of ball A.
- Explain what is happening with the speed of ball B.
- Explain what is happening with the speed of ball C.
- Explain what is happening with the speed of ball D.
- Explain what is happening with the speed of ball E.

- On Wednesday evening I ran 6437 meters (4.0 miles) in 2679 seconds (44:39 min:sec).
- _____________ _________ What was my speed in meters per second?
- _____________ _________ I have run 92.8 miles since August first. I have 7.1 miles (11426 meters) to run to reach a hundred miles of running in August. Based on my speed above, how much longer do I have to run at that speed to reach 100 miles? Give your answer in minutes - they are easier for me to work with when running than seconds!

- In laboratory two on a graph of
**time***versus***distance**for a rolling ball, what physical quantity did the slope represent? - For laboratory two, rolling balls, which measurement is likely to be the greater source of error and why - the time measurement or the distance measurement?

$\text{slope}=\frac{({y}_{2}-{y}_{1})}{({x}_{2}-{x}_{1})}$

distance `d` = velocity `ѵ` × time `t`

$\u0475=\frac{\Delta d}{\Delta t}$