Aball is tied to the end of a length of string. a student holds one end of the string and whirls it so the ball travels in a vertical circle. first she whirls the ball at a very fast speed, and then she very gradually lowers the speed. where is the ball most likely to be when the string begins to sag? a.) at the top of the circle b.) descending at the midway point between the top and bottom of the circle c.) ascending at the midway point between the top and bottom of the circle d.) at the bottom of the circle

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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.