Suppose 2 waves, identical except for the direction of travel, approach each other in a medium that obeys hookes law. At certain instants, the waves interfere constructively at all positions. suppose that the kinetic energy in eash of the initial waves is K, determine the kinetic energy that results from the superposition of both waves.

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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.