An apple breaks off from its branch and falls toward the ground 9 m below, accelerating all the way. At point S the apple is 6 m from the ground. At point T the apple is 3 m from the ground. How does the sum of the gravitational potential and kinetic energies of the apple compare between point S and point T?

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. 

Newtons laws of motion

The object's initial distance above the groundthe object's initial velocity