Key Question:
What is the relationship between position and time for a cart rolling
down a ramp?
What is the relationship between velocity and time for a
cart rolling down a ramp?
Summary: In order to get my position and time data, I first started by using the ticker timer and plugging it into the wall. I then fed the tape (carbon) threw the ticker timer until the car was close to the timer. I then proceded to start the car and ticker timer. This ticker timer produced 6 dots per 0.1 seconds. I then followed this by counting on the tape six dots and making a mark every 6 dots. These six dots represented 0.1 seconds. I did this till I had 1 full second and measured the distance from 0 cm for all the marks(every 6 dots). We then input our data and graphed it.good
Position Graph:
Data Analysis:
VM: As time increases at a constant rate, the position increases at increasing rate.
MM: x=(13.357cm/s^2 )t^2
Velocity Graph:
VM: As the time increases increases, the velocity increases proportionally.
MM: y=mx +b
Vf= At + vi
Slope = cm/s/s <--- acceleration
Description: After creating our position graph, we created our velocity graph in person. We did this by cutting each ticker tape with each six dots. We then kept on doing this until all of it was cut. By cutting it at each 6 dots, we were able to keep the same time interval. We then noticed that as the time increased at a constant rate, the position increases at increasing rate. To create a velocity time graph from a position time graph you have to divide the displacement of each interval by the time of each interval. The result will be the average velocity of each interval. This enables us to see the difference in speed. This graph tells me that the velocity is increasing constantly over a period of time.
good!!!
MM: y=mx +b
Vf= At + vi
Slope = cm/s/s <--- acceleration
Description: After creating our position graph, we created our velocity graph in person. We did this by cutting each ticker tape with each six dots. We then kept on doing this until all of it was cut. By cutting it at each 6 dots, we were able to keep the same time interval. We then noticed that as the time increased at a constant rate, the position increases at increasing rate. To create a velocity time graph from a position time graph you have to divide the displacement of each interval by the time of each interval. The result will be the average velocity of each interval. This enables us to see the difference in speed. This graph tells me that the velocity is increasing constantly over a period of time.
good!!!
Investigating:
Two new Equations:
Area under velocity graph: The area under the velocity graph represents the displacement of car. In essence, the area under the line represents the final position minus the initial position.
good Explaining:
Did each have the same numbers for the constants and slopes? Why or why not?
No not everyone had the same numbers for the constants and slope. First of all this is because the tape length varied among people. Some had longer tapes than others. Secondly, not everyone had the same slope. This is because they angled their ramp differently. yes Some had ramps at higher positions and some had ramps at lower positions. Thus it would be hard for everyone to get the same results. Although not everyone had the same results, some were similar and close to one another.
Another idea for something I would want to test would involve mass. I want to test whether a heavier car enables the car to go faster or slower on the ramp. I could test this by basically repeating this experiment. However, I would use two differently weighted cars, a heavy one and a lighter one. I would then gather the data and compare which one went the fastest on the same ramp. The ramp would have to have the same slope for both cars.
great ideas!!!
V final = at + V initial
We found this from y = mx + b, which is used to state the equation of the velocity graph.
displacement or x = 1/2(at)^2
We found this equation by looking at the similarities between the velocity and position graphs, and how their slopes were connected or related.
Area under velocity graph: The area under the velocity graph represents the displacement of car. In essence, the area under the line represents the final position minus the initial position.
good Explaining:
Did each have the same numbers for the constants and slopes? Why or why not?
No not everyone had the same numbers for the constants and slope. First of all this is because the tape length varied among people. Some had longer tapes than others. Secondly, not everyone had the same slope. This is because they angled their ramp differently. yes Some had ramps at higher positions and some had ramps at lower positions. Thus it would be hard for everyone to get the same results. Although not everyone had the same results, some were similar and close to one another.
Discuss any errors in your experiment and how
you could correct them.
This was a relatively easy experiment but I might have made some errors in my experiment. One of the errors was that my measurements in cm of the ticker tape might have been a little off. Therefore causing my data not to be 100% correct. Their really is no way to fix this besides being the most careful and specific measurer. This will enable your data to be better and give you better results. Another error was that the ticker tape might have had some extra dots on the tape from a previous try. We could of fixed this by using a different ticker tape. This would have given us more accurate and precise data.
Discuss another idea for something you would like to test regarding acceleration and how you could test it.
This was a relatively easy experiment but I might have made some errors in my experiment. One of the errors was that my measurements in cm of the ticker tape might have been a little off. Therefore causing my data not to be 100% correct. Their really is no way to fix this besides being the most careful and specific measurer. This will enable your data to be better and give you better results. Another error was that the ticker tape might have had some extra dots on the tape from a previous try. We could of fixed this by using a different ticker tape. This would have given us more accurate and precise data.
Discuss another idea for something you would like to test regarding acceleration and how you could test it.
Another idea for something I would want to test would involve mass. I want to test whether a heavier car enables the car to go faster or slower on the ramp. I could test this by basically repeating this experiment. However, I would use two differently weighted cars, a heavy one and a lighter one. I would then gather the data and compare which one went the fastest on the same ramp. The ramp would have to have the same slope for both cars.
great ideas!!!
