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Displacement from a singular force over time is given by the equation $${1\over2}{F\over m}t^2 $$ Where F is force, m is mass, and t is time.

But what if F is variable over time?

My best guess is to find the "area" under the curve of F, as on a graph, using integration by the trapezoidal method, with respect to t

This gives SI units of joules, so then we must divide by F to get total displacement over time.

Is this the correct solution?

3 Answers 3