As an astronaut visiting Planet X, you are assigned to measure the free-fall acc

Question

As an astronaut visiting Planet X, you are assigned to measure the free-fall acceleration. Getting out your

meter stick and stop watch, which of course you took with you on your travels, you time the fall of a

heavy ball dropped from rest from several heights. Your data are as follows:

height(m)                        Fall time(s)

1.0                                    0.50

2.0                                    0.82

3.0                                    1.01

4.0                                    1.17

5.0                                    1.25

6.0                                    1.40

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 2.15 in the text.

Reminder: Use the Model, Visualize, Solve, Assess format to organize and clearly communicate your

solution.

Explanation / Answer

calculating the values of acceleration using 0.5*f*t^2 we get 8,5.948,5.88,5.84,6.4,6.122 so by fitting least sqaure method we get accelaretion is 6.4095 m/sec^2(sqrt(a1^2+a2^2+a3^2+...N./N)).

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