1. The problem statement, all variables and given/known data A Porsche challenges a Honda to a 400-m race. Because the Porsche's acceleration of 3.5m/s2 is larger than the Honda's 3.0m/s2, the Honda gets a 50-m head start. Both cars start accelerating at the same instant. Who wins? 3. The attempt at a solution The only thing I'm not sure about is how to get the velocity from a given acceleration. How do you figure it out mathematically? Edit: So basically I set up both things as a function of time, and I integrated. Porsche: a(t) = 3.5t Porsche: v(t) = (3.5/2)t^2 Porsche: s(t) = (3.5/6)t^3 Honda: a(t) = 3t Honda: v(t) = (3/2)t^2 Honda: s(t) = (1/2)t^3 + 50 Using these formulas, I calculated that the Porsche wins! Does it look correct?