Awoman lies on her back and raises her head up off the floor. when doing so, the total tension force in her neck muscles is 50.0 n. the same woman now is sliding feet first down a water slide. the slide makes a circular curve, where the outside wall of the slide is vertical but the curve itself is in the horizontal plane, and the radius of the curve is 2.40 m. while sliding along this curve, the woman's speed is 3.50 m/s. the woman raises her head from the wall of the slide and holds it steady, looking forward.
at this moment, what is the total tension (in n) in the woman's neck muscles?

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.