A spring with force constant k=100 N/m is fixed vertically to the floor. An object with mass=0.2kg is dropped directly onto the spring from a height of 0.3m above the tip of the spring. What is the maximum compression of the spring before the mass comes to a stop? What is the compression of the spring when the mass is traveling at its maximum speed?

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. 

Binary fission and mitosis