Graphical Analysis

Graphical Analysis

Purpose: To gain experience in drawing graphs and in using graphing software.
Needed: Motion Detector, rubber ball, wire basket

So, we started out with logging in and working on the logger pro. We were given a graph, and we had to figure out the different steps that they have given us.For example this was the graph we came up with in my group. We had to make a function and our function had these following things:

• A Title- The Rocket Path
• X&Y axis- the X axis is Time and the Y axis is Distance
• units is seconds and meters
• The function we use to create this parabola was Cos(x^3)

We got comfortable enough working with logger pro. We then set up the motion detector, and then on top we set the wire basket.  We did one test run with the card board, and after that we tested it with the rubber ball. We then threw the ball an a upward position and then let it bounce on the wire basket. That's how we got our parabola. On the first run we got this parabola with smaller parabolas. We went ahead, edited our graph, and took out the smaller parabolas out. Which we were asked if you can change the makers? Yes, we were able to take out part of the graph that we didn't need.  Here's an explanation of our parabola:

• The Equation is At^2+Bt+C
• A=-4.45
• B=6.775
• C=-.862

The pink is our parabola and the curve fit would be the white one. The X-axis would be time and it goes up to one second as seen above. Then on the left hand side on our Y-axis would be position and the units would meters and it goes up to 1.8.

Once, we were set with our curve. We went on to work on to Confirm that the distance fallen adheres to the following relationship:

• d is proportional to gt^n, where g=9.8 m/s^2

distance is = m (gravity * time^n)

g=m/s^2

time=seconds

m=m/s^2*s^n

m*s^2/m=m*s^n which the m's crosses out on both sides. The s^2=s^n 

which n=2. It's 2 because the graph is parabolic. 

Conclusion:

At the end of this lab, I got familiar with working with logger pro. I got the experience of working with graphs and the graphing software.