Arace driver has made a pit stop to refuel. after refueling, he starts from rest and leaves the pit area with an acceleration whose magnitude is ; after he enters the main speedway. at the same instant, another car on the speedway and traveling at a constant velocity of overtakes and passes the entering car. the entering car maintains its acceleration. how much time is required for the entering car to catch the other car?

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. 

Answermuscle strength;