You are exploring a planet and drop a small rock from the edge of a cliff. In co

Question

You are exploring a planet and drop a small rock from the edge of a cliff. In coordinates where the +y direction is downward and neglecting air resistance, the vertical displacement of an object released from rest is given by

where gplanet is the acceleration due to gravity on the planet. You measure t in seconds for several values of

in meters and plot your data with t2 on the vertical axis and

on the horizontal axis. Your data is fit closely by a straight line that has slope 0.400 s2/m. Based on your data, what is the value of gplanet?

Explanation / Answer

You are simply measuring d and t for an object falling from rest.

Fitting the data to the equation d =

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