Imagine you hold one end of a slinky or a coiled spring and a friend holds the other end to maintain some tension. You move your hand
quickly towards your friend to create a disturbance that moves towards him along the slinky. Now imagine moving your hand quickly
perpendicular to the slinky. Finally, imagine creating a disturbance that is partly along the slinky and partly perpendicular (moving your
hand diagonally). What would happen to this disturbance if the transverse part and the longitudinal part traveled at different
speeds?

Ireally don’t know

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.