Two brothers are playing soccer on the beach. One brother kicks the ball really Hard and the ball lands in the water, about 50 meters from the beach. They wonder if the ball will float back to the beach.

Who is correct?

A. Todd: Waves carry objects as they travel through water. If we wait, the waves will move the ball back onto the beach.

B. Brian: Waves don’t carry things as they travel through water. I think we need to swim out and get the ball.

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. 

The object's initial distance above the groundthe object's initial velocity

Simple, don't do it. just don't go to that dock