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, y_{1} (m) |
Dist, y_{2} (m) |
Dist, y_{3} (m) |
Dist, y_{4} (m) |
Dist, y_{5} (m) |
<y> |
σ |
t^{2} |

0 | 0 | 0 | 0 | 0 | 0 | |||

0.5 | 1.0 | 1.4 | 1.1 | 1.4 | 1.5 | |||

0.75 | 2.6 | 3.2 | 2.8 | 2.5 | 3.1 | |||

1.0 | 4.8 | 4.4 | 5.1 | 4.7 | 4.8 | |||

1.25 | 8.2 | 7.9 | 7.5 | 8.1 | 7.4 |

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**Procedures: **

From the above data perform the following Tasks.

**Task 1.** Complete the table.

Results 1:

**Task 2.** Plot a graph <y> versus t (plot t on the abscissa, i.e., x-axis).

Results 1:

**Task 3.** Plot a graph <y> 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.

Last Updated on February 11, 2019 by Essay Pro