1. The problem statement, all variables and given/known data A point mass,m, is constrained to move in one-dimension and is acted on buy a force that depends on time in the following way: F[x](t)=ƒ[o]+αt+βt^2 where ƒo,α, and β are constants . In terms of the quantities given, answer the following: If the object starts off at rest at t=0, find its velocity at a later time, t[f] Find the distance the mass has traveled from t=0 to t=t[f] 2. Relevant equations v=at F=ma 3. The attempt at a solution I believe I found the velocity at t[f] by, having a=F/m then v=(F/m)t and for t[f] v[f]=((ƒ[o]+αt[f]+βt[f]^2)/(m))*t[f] but from there, I'm kinda stuck. I know that the distance must be the integral of the velocity, but, with velocity changing, how can I find the integral? Or is there perhaps another way?