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?
NG2 Investigate
We used the ticker tape to get the data for the data through how the ticker tape dots formed as the cart rolled down the ramp. The way the ticker tape works is that carbon paper is used to make small dots on the ticker tape, since we were using the high powered dot machine, the machine would make 6 dots in a tenth of a second. That would mean that in a second there would be 60 dots. We can use this to find our data by counting the dots per tenth of a second and measuring the distance between each set of 6 dots. We found that as we counted the dots, the distance between each set became further away. With that said, the data we took from this would be the distance from one set to another and how it corresponded with the cart being further down the ramp at each point.
photo??
Data table
seriously, why isn;t this done???
We made the velocity versus time graph by cutting the tape every tenth of a second and more precisely every six dots. We then glued the paper to the graph paper to see how each strip of paper became longer and long due to the increasing speed of the cart down the ramp.
Graph
VM: As Time increases, the position increases increasingly.
MM:
Y-int: Initial Position
Graph
VM: As time increases, the velocity increases proportionally.
MM:
Slope: When time increases by 1 second, the objects velocity increases by
Y-intercept: Initial velocity
NG4 Models
The new equation we were able to get from the position versus time graph is X = 1/2at^2. The way were able to get this equation is we had to realize that
