1. The problem statement, all variables and given/known data he position of a particle moving along the x axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds. (a) What dimension and units must c have? m/s2 s2/m m2/s s/m2 What dimension and units must b have? s/m3 m3/s s3/m m/s3 For the following, let the numerical values of c and b be 3.2 and 1.0 respectively. (b) At what time does the particle reach its maximum positive x position? (c) What distance does the particle cover in the first 4.0 s? (d) What is its displacement from t = 0 to t = 4.0 s? (e) What is its velocity at t = 1.0? What is its velocity at t = 2.0? What is its velocity at t = 3.0? What is its velocity at t = 4.0 s? (f) What is its acceleration at at t = 1.0 s? What is its acceleration at at t = 2.0 s? What is its acceleration at at t = 3.0 s? What is its acceleration at at t = 4.0 s? 2. Relevant equations I know that in the bold are correct. Unless of course I'm proven to be wrong on this of course. So, that seems to use the grand dx/dt for (b) unless I'm incorrect. Though, I'm not sure entirely. So, it would be as such unless I'm mistaken. v = dx / dt = [(3)*35 + (2) 1]=0 Though, something tells me that I may be incorrect, if so can you please explain why in details. (Sorry to be demanding.) I feel it has to do with the coefficient.