During 200 meter and 400 meter races, runners must stay in lanes as they go around a curved part of the track. If runners in two different lanes have exactly the same speed, will they also have exactly the same centripetal acceleration as they go around a curve? Explain.

Im not sure, but I believe that they will not. The larger the radius, the smaller the acceleration. Centripetal acceleration = V^2/r, so the runners in the outer lanes will have a smaller centripetal acceleration.