An object is dropped from a point above the moon's surface. There is no significant atmosphere on the moon. If the object falls only a relatively short distance, the acceleration due to gravity is constant. For constant accleration and zero initial velocity, the position as a function of time is given by
where g is the acceleration of gravity on the moon. In fact, the acceleration due to gravity increases slightly as you approach the surface.* Given this fact, the equation above is not correct. Below are three "possibly correct" equations for the position as a function of time. For each, briefly argue why the equation might be or might not be correct. No numbers or algebra are allowed in your argument, just words.
(*We'll study why this is in a few weeks.)
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