edit: meant to put rates of change as the title, not related rates. 1. The problem statement, all variables and given/known data A particle moves on a vertical line so that its coordinates at time t is s(t) = 4t^3 - 12t^2 +7, where t≥0 a) when is the particle moving upward and when is it moving downward b) find the total distance that the particle travels in the time interval 0≤t≤ 3 3. The attempt at a solution so i'm pretty sure I would take the derivative to find the velocity function, but how do I find out when it's moving upward and when it is moving downward? positive = upward and negative = downward?