As an astronaut visiting Planet X, you’re assigned to measure the free-fall acceleration. Getting out your meter stick and stop watch, you time the fall of a heavy ball from several heights. Your data are as follows:

Height (m) _____________ Fall time (s)

0.0 …………………………. 0.00

1.0 …………………………. 0.54

2.0 …………………………. 0.72

3.0 …………………………. 0.91

4.0 …………………………. 1.01

5.0 …………………………. 1.17

Analyze these data to determine the free-fall acceleration on Planet X. Your analysis method should involve fitting a straight line to an appropriate graph, similar to the analysis in Example 2.14.