Suppose you wanted to observe a planet around another star with direct imaging. would you try to observe in visible light or in the infrared? why? would the planet be easier to see if it were at 1 au or 5 au from its star?

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. 

Texas-flood watch and coastal flood barrierscalifornia-try and look for under ground water stream 

This question is incomplete and not physics but i'm  willing to if you can give a better question

What are you asking