The rotational inertia of an object rotating about a fixed axis is 10 kg⋅m2. Its angular velocity ω as a function of time t is given by ω(t) = αt3 − ω0, where α = 2.0 rad/s4 and ω0=4.0 rad/s.

Determine the angular displacement of the object from t=1 s to t=3 s.

Iagree c would be the answer

You need to be more specific.  i really don't know what a "motion map" is.you can draw a graph of an object's position, distance, displacement, speed,velocity, or acceleration versus time, or you can draw a graph of the object's x-position versus its y-position and not give any information about time at all.if the graph presents position or displacement against time,  then constant velocity is a straight line . . i.e. a line that has  constant slope.if the graph shows speed against time, then constant velocityis a horizontal piece of line.if the graph shows acceleration against time, then constant  velocity is a piece of line that lies on the x-axis . . it's value is zero. 

True will be your answer dude