It has occurred to me that gravitational force on an object will change as the object falls toward the Earth. I modified Newton's equation F=GMm/(r^2) to reflect the change in force over time:(adsbygoogle = window.adsbygoogle || []).push({});

F = GMm/[r-.5a(t^2)]^2

Now that I have the equation I'm trying to figure out the instantaneous change in force. I assume it would be the derivative of the above equation, but I'm not the best at derivatives. Can anyone help me out?

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# Instantaneous Change in Gravitational Force

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