1. The problem statement, all variables and given/known data Give the velocity v = ds/dt and initial position of a body moving along a coordinate line. Find the body's position at time t. v = 32t - 2, s(.5) = 4 3. The attempt at a solution Here's how the solution manual does it: step 1. v = ds/dt = 32T - 2 step 2. s = 16T^2 - 2T + C; at s = 4 and T = .5 (I understand this) step 3. (find C) C = 1 (I understand how to do that) step 4. therefore s = 6T^2 - 2T + 1 Why 6T^2? How did they get that. I don't understand.