An object of mass 10 kg is released at point a, slides to the bottom of the 30º incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. (see below.) the spring constant is 500 n/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless. what is the speed of the object at the bottom of the incline?

The objects are acted upon by only one force. gravity. mass times the acceleration of gravity (-9.81meters/second squared).

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.