The postiion of a particle able to move left or right along the x axis is given by the function x(t) = ct^2 - bt^3, where c and b are constants. Your answers will be in terms of these two constants. What are the units of c? What are the units of b? What is the largest positive x position reached by this particle? Does the particle reach a maximum speed (either positive or negative)? If so what is its maximum speed. If not, explain why not. I know that the slope is the velocity, which is m/s but I don't know which one is the slope. As for the largest positive x position... I thought about maybe using the quadratic formula but the function is not really appropriately setup. Any help would be appreciated.