1. The problem statement, all variables and given/known data A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt^2, where b is a constant. The expression for the distance traveled by this car from its position at t = 0 is: A. bt3 B. bt^3/3 2. Relevant equations Velocity is change in position divided by change in time. 3. The attempt at a solution Three questions: 1) Is this a bad question? I don't see how we can get distance traveled from what's given in this problem unless we make the assumption that distance = displacement in this problem. 2) If velocity is displacement / time, then why isn't the answer according to the problem v * time or bt^2 * t = bt^3? 3) Why is the integral of the velocity function in the question bt^3/3 - or different from simply velocity * time? Isn't the integral the area under the curve on a velocity time graph, or simply the y-axis * the x-axis (velocity * time)?