Wondering about space time

Since i am not a physics major, and know nothing about space and time. I was just wondering, does time decrease where the  body is able to move faster. Ability means, if we give same thrust to an object, in two different time zones, the place where time moves slow, the object is going to move faster. I say ability, not just when they actually are moving faster. Like in moon, i guess time slows down, not just because of less gravity. But also because of the ability of a body to move faster. In a very fast moving train in the earth, with constant gravity, time slows down because if we throw a ball it travels miles in matter of seconds. Is there a general pattern in the universe, where we can predict time at any point in the universe. Is it true, that time can stop at any point. Time stops, i guess is a myth. Let's explore time and space.