1. The problem statement, all variables and given/known data The position of a particle moving along the x-axis depends on time as x(t) = 100 t^2 - 8 t^3 where x is in m and t in s. At what time does the particle reach its maximum positive x position? What is the length of the path covered by the particle between t = 0.0000 s and t = 10.833 s? What is the displacement of the particle between t = 0.0000 s and t = 10.8333 s? 2. Relevant equations x(t) = 100 t^2 - 8 t^3 3. The attempt at a solution I haven't had any attempts that have led me anywhere, really. This is the first time I've encountered this type of problem.