Title:



Title:

Date:

Name:

Partner(s):

Objective:

Raw Data:

|Dot # |t |s |

| |( ) |( ) |

|1 | | |

| | | |

|2 | | |

| | | |

|3 | | |

| | | |

|4 | | |

| | | |

|5 | | |

| | | |

|6 | | |

| | | |

|7 | | |

| | | |

|8 | | |

| | | |

|9 | | |

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|10 | | |

| | | |

|11 | | |

Calculated Data:

|Δs |Δt |v |t |Δv |Δt |a |

|( ) |( ) |( ) |( ) |( ) |( ) |( ) |

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

Average a __________

Sample Calculations:

Velocity v = (s/(t =

Acceleration a = (v/(t =

Plot 1: (Graph v vs t. Be sure to use the correct times, the ones that go with the velocity values. Convert your times to decimal form for the plot. This makes the plot much simpler to analyze and read. Be sure to label your axes and include units. Determine the equation of the best line through your data points. You can do this in Excel using the ‘Add Trendline’ feature. Display the equation on the plot. Either import the plot into this Word document or print out the plot and insert the page here.)

Plot 2: (Graph s vs. t using your raw data. Convert your times to decimal form for the plot. This makes the plot much simpler to analyze and read. Be sure to label your axes and include units. According to theory, s should be a quadratic function of t. Determine the equation of the best parabola through your data points. You can do this in Excel using the ‘Add Trendline’ feature. Choose a polynomial of order 2. Display the equation on the plot. Either import the plot into this Word document or print out the plot and insert the page here.)

Results:

(Compute the average acceleration from your table and compare to the accepted value by calculating a percent difference.)

(Plot 1: For constant acceleration we know that v = vo + at. Thus, the slope of the line is the acceleration. Report the acceleration with appropriate units and compare it to the accepted value. Report the vertical intercept, vo, with appropriate units Finally, determine the time at which the motion actually started, that is, determine to, the time when v = 0. This should be a negative time. Report to with appropriate units.)

(Plot 2: Theory states that s = so + vot + ½ at2. Knowing this and the equation of the best parabola from your plot, determine the acceleration due to gravity. Compare it to the accepted value of g. The slope of this curve at any point is ds/dt, which we recognize as the velocity at that time. Choose one of the recorded points and draw a line tangent to the curve. (Remember that a tangent line touches the curve at one point but does not cross the line at that point.) Determine the slope of this tangent line (which is also the slope of the curve at that point) by choosing two points on the tangent line and calculating rise over run. Compare this slope value (with units) with the appropriate calculated velocities from the data table. Remember that the calculated velocities in the data table correspond to times that are between the times of the data points of the plot. Thus, for example, if you find the slope at 8/60 seconds, you would expect this slope value to be between the table velocities at 7/60 seconds and 9/60 seconds.)

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?)

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