The 0.045 kg golf ball makes a perfectly elastic collision with a wall and bounces back. The ball was in contact with the wall for 0.01 s and the wall imparts a force of 40 N on the ball. What was the initial velocity of the ball just before it hit the wall?

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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.