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.
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
the your report. The preliminary questions should be answered on
ANALYSIS QUESTIONS (IN LAB HAND OUT):
1 and 2 are self evident. Show calculations, using sig. fig. rules:
In 1 , show
your computations of the increases in speed.
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.
two using the percent error (PE): PE = |m - MEAN|*100%/m.
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:
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:
What is the relationship? Using the slope from 4 and A, compute ratio R
= (slope)/A and compare this ratio with the actual relationship
2. Find the percent error: PE = |R - 2|*100%/2.
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.