Experimental Errors and Uncertainty
The data table that follows shows data taken in a free-fall experiment.
Measurements were made of the distance of fall (Y) at each of the four precisely measured times.
Time, t (s)|Dist, y1 (m)|Dist, y2 (m)|Dist, y3 (m)|Dist, y4 (m)|Dist, y5 (m)||σ|t2| 0|0|0|0|0|0|0|0|0|
From the above data perform the following Tasks.
Task 1. Complete the table.
Task 2. Plot a graph versus t (plot t on the abscissa, i.e., x-axis). Results 1:
Task 3. Plot a graph versus t2 (plot t2 on the abscissa, i.e., x-axis). The equation of motion for an object in free fall starting from rest is y = ½ gt2, where g is the acceleration due to gravity. This is the equation of a parabola, which has the general form y = ax2. Results 1:
Task 4. Determine the slope of the line and compute an experimental value of g from the slope value. Remember, the slope of this graph represents ½ g. Results :
Task 5. Compute the percent error of the experimental value of g determined from the graph in part d. (Accepted value of g = 9.8 m/s2) Results 5:
Task 6. Use a spreadsheet to perform the calculations and plot the graphs indicated.
Results 6: The spreadsheet with calculations graphs is attached as a separate attachment.