Which theory proposes that the moon was a passing asteroid pulled into orbit by earth's gravity? impact theory co-formation theory capture theory synchronous theory

Impact theory is the idea that the moon was formed by a collision between the Earth and another body.

The capture theory is the idea that the moon formed somewhere else in the solar system. The theory proposed that the moon was just an asteroid pulled into orbit by the Earth. 

Co-formation is a theory that proposes that the Earth and the moon formed around the same time as each other from a primitive solar nebulae. 

The answer to your question then is CAPTURE THEORY.

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.