A. How close was your prediction to the actual graph? If you're graphs were different then why were they different? What initial reasoning led you to your original graph and why was it different?
My predictions were usually way off, correctly predicting the start and end points, but then shaped entirely differently. I believe the speed of the skateboard would be exponential in nature, but it proved much more erratic.
B. What do the zeros of your graph represent?
They represent the times in which the skateboard was not moving anymore, and had reached the bottom of the driveway.
C. How do the three graphs compare in terms of zeros, maximums and minimums? What's similar and different and why?
The smaller the ramp was, the lower the maximum, and the sooner the zero occurred.
D. Consider the slopes of the graphs. When is the graph rising the fastest and what does it mean? When is it falling the fastest and what does it mean?
The graph rises fastest early on, and falls fastest near the end. This means that the skateboard is decelerating up the driveway, and begins to accelerate as it heads down the driveway.
My predictions were usually way off, correctly predicting the start and end points, but then shaped entirely differently. I believe the speed of the skateboard would be exponential in nature, but it proved much more erratic.
B. What do the zeros of your graph represent?
They represent the times in which the skateboard was not moving anymore, and had reached the bottom of the driveway.
C. How do the three graphs compare in terms of zeros, maximums and minimums? What's similar and different and why?
The smaller the ramp was, the lower the maximum, and the sooner the zero occurred.
D. Consider the slopes of the graphs. When is the graph rising the fastest and what does it mean? When is it falling the fastest and what does it mean?
The graph rises fastest early on, and falls fastest near the end. This means that the skateboard is decelerating up the driveway, and begins to accelerate as it heads down the driveway.