The motion will not be effected. If you build a pendulum in your garage that swings with a period of one second, then bring it on a train, it will again swing with a period of one second, provided the train moves uniformly.
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In 2 dimensional space it is a translation vector which is a 2x1 column vector.
vt-v2
The motion along a straight line is known as rectilinear motion.
Vertical motion is the motion that is perpendicular to the ground.
Motion directly either toward or away from the center is 'radial' motion. Motion where the distance from the center is constant is 'tangential' motion.