1. The problem statement, all variables and given/known data A man can row a boat at 4 m/s in still water. The current in a river is 2 m/s. The river is 40 m wide. If he wants to cross the river in the smallest possible time at what direction should he aim the boat? Given: V[B,E] = 4m/s V[W,E] = 2 m/s Down is negative. 2. Relevant equations V[B,W] = V[B,E] + - V[W,E] 3. The attempt at a solution V[B,E]: -V[B,E] (Boat is going West in my drawing, so I made that negative) V[W,E]: -V[W,E] (Current is down... so negative) Then: V[B,W] = -V[B,E] i + V[W,E] j (component form) tan theta = -2/4 theta = 26.6 degrees. Nowhere in there, did I minimize time though. Where did I go wrong? Thank you.