A vehicle travels in a straight line for t minutes with a velocity of v(t) = 174t - 6t² feet per minute, for 0 < t < 20. Step 1 of 2: Find the distance function s(t) if s(0) = 0. A vehicle travels in a straight line fort minutes with a velocity of v(t) = 174t - 6t² feet per minute, for 0 < t < 20. Step 2 of 2: How far will the vehicle travel in 12 minutes?