The system is released from rest with no slack in the cable and with the spring stretched 200 mm. determine the distance s traveled by the 4‐kg cart before it comes to rest (a) if m approaches zero and (b) if m = 3 kg. assume no mechanical interference and no friction, and state whether the distance traveled is up or down the incline.

Answer8.0m;

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. 

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