Newton's laws do not predict the motion of all objects. The motion of which of the objects below does not obey Newton's laws? A a car sliding on ice
B Jupiter's moons
C a pendulum swinging
D The electrons in a hydrogen atom

(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.)