Data sheet: Include a photocopy of data sheet page of the handout. Note: The MEAN acceleration (using STAT button on the acceleration versus time plot) should be written into your data table.
Analysis:
In your report, you are really interested in how A and slope m from curve fits and the MEAN acceleration (using STAT button on the acceleration versus time plot) relate. The relationships would confirm the consistency with a linear relationship. These values were found using curve fit and the STAT tools. You also recorded the velocity versus time using the EXAMINE tool. All these aspects of the procedure may support the case for a linear relationship between velocity and time, consistent with Galileo.
FOLLOW THESE INSTRUCTIONS:
The answers to Analysis questions 1, 2, 3, 4, 5 and 6 should be
included in
the your report. The preliminary questions should be answered on
separate sheets.
ANALYSIS QUESTIONS (IN LAB HAND OUT):
1 and 2 are self evident. Show calculations, using sig. fig. rules: http://library.thinkquest.org/10796/ch1/ch1.htm .
In 1 , show
your computations of the increases in speed. 0.4651
0.3933
3. Note that the answer to question 3 asks you to present evidence of Galileo's idea that there was a quadratic relationship between the distance and the time. Your evidence is the linear relationship between the speed and time. Remember, that linear relationship can be shown to be equivalent to the quadratic relationship by using basic algebra. Your evidence of the linear relationship between speed and time was given by the answer to 2. ( We use speed and velocity interchangeably given that the motion was in a straight line in the positive direction i.e. down the incline.) You should also state that there was a linear relationship as revealed by the curve fit value m and how close it was to the MEAN value of the acceleration obtained by using the STAT tool.
Compare the
two using the percent error (PE): PE = m  MEAN*100%/m. http://library.thinkquest.org/10796/ch1/ch1.htm.
4. Note that the answer to question 4 asks you to find the slope by finding the rise over the run using the first and last data values, abiding by the rules for sig. figs. shown here at this link: http://library.thinkquest.org/10796/ch1/ch1.htm.
4.
continued.
5. Note that the answer to question 5 asks you to find the relationship between constant A from curve fit and the slope you found by answering 4, abiding by the rules for sig. figs. shown here at this link: http://library.thinkquest.org/10796/ch1/ch1.htm.
What is the relationship? Using the slope from 4 and A, compute ratio R = (slope)/A and compare this ratio with the actual relationship
(slope)/A =
2. Find the percent error: PE = R  2*100%/2.
Slope from
part 4 = 0.3563 and A = 0.1814 , where we suppress the units. 6. Note that the answer to question 6 asks you to find the relationship between the constant m from curve fit and the constant A found by answering 5. What is the relationship? Using m and A, compute ratio R' = m/A and compare this ratio with the actual relationship m/A = 2. Find the percent error: PE = R'  2*100%/2. Also find the relationship between the constant m from curve fit and the slope found in 4. What is the relationship? Compare the two using the percent error: PE = m  slope*100%/m. See examples in the previous part. Make both comparisons abiding by the rules for sig. figs. shown here at this link: http://library.thinkquest.org/10796/ch1/ch1.htm.
