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## Homework Statement

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**Lucy is measuring the acceleration due to gravity in Melbourne by dropping a ball through a vertical distance 1.00 m and timing how long it takes.**

The ball starts at rest, and Lucy times its fall four times. The results are: 0.47 s, 0.42 s, 0.48 s and 0.41 s. The uncertainty in her distance measurement is 1 cm and theuncertainty in the timer is 0.01 s. What is the uncertainty in the value of g that Lucy calculates?

Select one:

a. at least 0.01 ms−2 and at most 0.03ms−2.

b. more than 0.03 ms−2but at most ms−2.

c. more than 0.1 ms−2 but at most 0.4 ms−2.

d. more than 0.4 ms−2 but at most 0.6 ms−2.

e. more than 0.6ms−2 but at most 2ms−2.http://asoeonline.edu.au/theme/image.php/essential/core/1427682940/i/grade_correct

## Homework Equations

I am not sure about the equations to use, but I think that these ones might help:

GPE = mgh

F = ma

## The Attempt at a Solution

Average of time values = 0.45s

Uncertainty = 0.45s +/- 0.04 s

Distance uncertainty = 1m +/- 0.01m

This is as far as I go. How do I calculate the g values from here on?

Thanks in advance :)