An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 50 km 60.0° west of north, and the second is 100 km 30.0° east of north. What is the total displacement of the airplane?

(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.)