1. A ball was rolled at three different velocities (speeds). The data was plotted on the graph seen below.
1. __________ __________ Calculate the velocity (speed) for the bottom (solid) line on the graph.
2. __________ __________ Calculate the velocity (speed) for the the middle (dashed) line one the graph.
3. __________ __________ Calculate the velocity (speed) for the highest (dotted) line on the graph.
4. __________ Which ball roll is the fastest: the solid, dashed, or dotted line?
5. __________ Which ball roll was the slowest: the solid, dashed, or dotted line?
6. __________ __________ If the ball with the dotted line rolls for five seconds, how far will the ball roll in meters?
7. __________ __________ How long in seconds for the ball with the dashed line to roll 20 meters?
2. 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.
1. Explain what is happening with the speed of ball A.
2. Explain what is happening with the speed of ball B.
3. Explain what is happening with the speed of ball C.
4. Explain what is happening with the speed of ball D.
5. Explain what is happening with the speed of ball E.
3. On Wednesday evening I ran 6437 meters (4.0 miles) in 2679 seconds (44:39 min:sec).
1. _____________ _________ What was my speed in meters per second?
2. _____________ _________ 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!
4. In laboratory two on a graph of time versus distance for a rolling ball, what physical quantity did the slope represent?
5. 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?

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

distance d = velocity ѵ × time t

$ѵ=\frac{\Delta d}{\Delta t}$