Two astronauts, each having a mass of 75.0kg are connected by a 10.00m rope of negligible mass. They are isolated in space, moving in circle around the point halfway between them at a speed of 5.00m/s. Treating the astronauts as particles. calculate a) Their new speeds
b)The New rotational energy of the system.

100 pounds is 100 pounds no matter the object or item being weighed

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.