1. The problem statement, all variables and given/known data I am given an equation for the acceleration of an object with respect to time a(t). I know that it will be accelerating over a certain distance d, after starting at rest. How do I find the final velocity that this object has reached after travelling the distance d? 2. Relevant equations The given equation for a(t) is: a(t) = A(eBt-eCt)2 Where A, B, and C are known constants, and t is time. 3. The attempt at a solution I know that to find this final velocity I would use this equation: vf = ∫a(t)dt from 0 to te, the time at which the object reaches the distance d. I am stuck trying to find te, or at least some conversion to acceleration with respect to position a(x), so that I could integrate from 0 to d.