1. Bouncing Thor David Conrad, Parth Panchal, Dan Hanley, and Kelsy Rojek

2. How the lab was performed This lab was performed by first getting a ball, calculator, and motion sensor. We hooked up the motion sensor to the calculator to record the data. David carefully held the motion detector over the ball as Parth released it from his hand. David kept the motion detector at the same height the whole time because the sensor measures how far the ball is away from it. Failure to doing so would ruin the data. The sensor recorded the ball for precisely 5 seconds. After those 5 seconds we analyzed the graph formed by the calculator, which can be found on the next slide.

3. Data D I S T A N C E (ft) Time(seconds) The height at which the ball reaches every second The time it takes the ball to reach a certain distance Independent Variable: Time (sec.) Dependent Variable: Distance (ft.) (before we dropped ball)

4. What doesn’t belong on the graph? The y-intercept does not belong on the graph because it simply does not make sense in the context of the problem. The y-intercept is -.0314, which means that at zero seconds the ball was -.0314 feet off the ground, which is impossible. Therefore this value should not be displayed on the graph.

5. What does the highest/lowest point on the graph represent? The highest point represents the distance above the ground, in which Parth dropped the ball, which occurred at the start of our graph. The lowest point represents the distance the ball is from the ground after repeatedly bouncing off the ground, a few seconds after Parth dropped it. The lowest point is at the end of the graph because the ball’s height off the ground decreases with every bounce.

6. Why does the plot look like the ball bounced across the floor? The ball looks like it bounced across the floor because the independent variable (x) represents time. In the time the ball bounced, the height progressively lessened which is what is viewed. The progression does not represent distance moved.

7. Regression & Equation with Explanation This type of regression we concluded to was a quadratic regression. This is because the ball created a parabolic graph (multiple parabolas). Our equation was: y= -14.613x^2+10.931x-.0314 The y intercept represents the point in which the ball was dropped in reference to the measuring device. If we were asked to take the equation of a later bounce, the a value would decrease because it takes less time for the ball to drop and the b value would increases because the later bounce is shifted farther right on the graph.

8. Extensions VELOCITYVELOCITY Time (Seconds) For the first upward sloping segment, the ball is speeding up in a positive direction. The next segment is slowing down, but still going in a positive direction. Once the downward sloping segment crosses the x- axis, it begins to move in a negative direction while speeding up. For the next upward sloping segment, when it is below the x-axis, it is still going in a negative direction, but slowing down. After crossing the x-axis again, it moves in a positive direction while speeding up. The velocity is positive above the x-axis because it is moving in a positive direction and the velocity is negative below the x- axis because it is moving in a negative direction whether it is speeding up or slowing down. The velocity is zero when it crosses the x-axis because that is the point where the ball has no instantaneous motion. Velocity is a vector quantity meaning it has a magnitude and a direction.

9. Write-up What Was Most Difficult? The most difficult part of the lab was keeping the motions sensor over the ball to record data. We learned that the ball’s velocity is dependent on its direction. If we had the chance to do the lab over again, we would make the time range longer until the ball completely stopped bouncing to get a more complete and concise graph. What Did We Learn? We learned that the ball’s velocity is dependent on its direction as well. What Would We Do Differently? We would make the time range longer until the ball completely stopped bouncing to get a more complete and concise graph as well.

10. Makin’ History “VanderMeer, who ties Thor Solverson as the tallest player in school history at 6-foot-11, could well give the Flames the conference’s best post defense.” -Net News