Calculate the angular distance that Mars traveled between 08/09/03 and 09/08/03, compare that to the angular distance that Mars traveled between 9/15/02 and 10/14/02. Which one of those distances is the largest? (Show both calculations.) When is Mars moving the fastest, when it is closest or furthest from the Sun?

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)