(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A point mass m is exposed to a time dependent force F(t). Determine the position r(t) of the point mass for the initial conditions r(0) = [itex]r_{0}[/itex]and v(0) = [itex]v_{0}[/itex]

2. Relevant equations

3. The attempt at a solution

[itex]\sum[/itex]F= ma

[itex]F_{z}[/itex](t) - mg = ma

a = 1/m [itex]F_{z}[/itex](t) - g

v = 1/m [itex]\int[/itex][itex]F_{z}[/itex](t) dt - [itex]\int[/itex]g dt

but how do I start to int F(t) without knowing the equation for F itself?

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# Classical mechanics with time dependent force

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