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    $\begingroup$ So you define x[t_] := (F[x]/(2*m))*t^2 + x'[t]*t + x0 then you ClearAll[x]? This clears you definition, or am I lost? $\endgroup$ Commented Aug 7, 2016 at 11:52
  • $\begingroup$ Also if this is an homework, you should the appropriate tag... $\endgroup$ Commented Aug 7, 2016 at 11:53
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    $\begingroup$ Cool. Not homework. I have free time and am trying to learn Mathematica. Found this Physics problem but it seems a bit hard for me. Didn't realize ClearAll[x] does this. Just saw it being used... $\endgroup$ Commented Aug 7, 2016 at 12:03
  • $\begingroup$ you obviously don't want to define x before you solve for it anyway. Your equation is second order F=m x''[t], hope that helps. (I assume F is force, though you don't actually say that ). I,ll add your attempt looks like you are trying to make some use of some constant acceleration expressions. Your acceleration is most definately not constant, you cant use those. $\endgroup$ Commented Aug 7, 2016 at 12:56
  • $\begingroup$ So, you are trying to solve a differential equation where a particle undergoes a position dependent force? $\endgroup$ Commented Aug 7, 2016 at 12:59