If you moved to a planet that has the same mass as the earth but twice the diameter, how would your weight be affected?

High jump records would not last long on this planet.

F_e is your weight on earth.
2* (r_e) is the radius of the planet you move to
r_e us the radius of the earth.
F_n is your weight on the new planet.

F_n / F_e = (2*r_e)^2  /  (r_e)^2
F_n = 4 * F_e

See if you can figure out all the cancellations if you start with F_e = G * test_mass * M_earth /(r_e^2) 

Inner peace.. jk it's  a stable electron configuration

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.