How does the work required to accelerate a particle from 10m/s to 20m/s compare to that required to accelerate it from 20m/s to 30m/s?

a. it is less.

b. it is the same.

c. it is greater.

Answer(b) 60 miles per hour;

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.