You decide to attend an amusement park which has a ride where you are strapped into a chair which is in turn firmly attached to a plastic cable. you are released and you bounce up and down as a harmonic oscillator - a mass on the end of spring. next in line is somebody who weighs twice as much as you do. when the heavier person goes on the ride, you notice that:

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.