Title:
Date:
Name:
Partner(s):
Objective:
Raw Data:
Dot # / t( ) / s
( )
1
2
3
4
5
6
7
8
9
10
11
Calculated Data:
( ) / Dt
( ) / v
( ) / t
( ) / Dv
( ) / Dt
( ) / a
( )
1
2
3
4
5
6
7
8
9
10
11
Sample Calculations:
Velocity v = Ds/Dt =
Acceleration a = Dv/Dt =
Plot 1: Velocity v. Time with best fit line
Either import the plot into your document or print out the plot and insert page here. Be sure to show the equation of the best linear fit on the plot.
Plot 2: Position v. Time with quadratic, best fit curve
Either import the plot into your document or print out the plot and insert page here. Be sure to show the equation of the quadratic fit on the plot.
Plot 3: Velocity v. Time with shaded area
Show the velocity versus time plot as in Plot 1 with the best fit line included. Only this time, shade in an AREA underneath the best fit line from some t1 to t2 of your choosing.
Results:
Compute the average acceleration from your table and compare it to the accepted value by calculating a percent difference.
From plot 1, report the slope and compare it to the accepted value. Report the vertical intercept, vo. Show the calculation for the horizontal intercept, to.
From plot 2, differentiate the quadratic equation obtained from the best fit. This linear function is the velocity at time t. Choose a time half-way between two of the raw times entered in the table and evaluate the velocity, at the chosen time, by using the linear function. Compare this value to the average velocity in the table.
Calculate the area underneath the best fit line from t1 to t2, and compare it to Δs between t1 and t2 as determined from the best fit curve of Plot 2. Be sure to include the proper units and calculate the percent difference for the comparison.
Uncertainties:
What were the sources of measurement uncertainty? Which source was the largest contributor to measurement uncertainty? Does the measurement uncertainty alone account for any differences between calculated values and accepted values?