A locomotive pulling a train out from one station travels along a straight horizontal track towards another station. The following describes how the velocity of the train varies with time over the whole journey. It started from rest and gain a speed of 40 ms-1 in 2 s. It then traveled at this speed constantly for 10 s. Finally, it decelerates and reaches the other station within 2 seconds.

Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant.