Abs is short for absolute value, meaning the distance from zero, or simply, it makes a value always positive, so abs(-5) is 5 and abs(5) is 5.
Sin is a trigonometric function, in a right triangle it means opposite/hypotenuse. The number given is an angle and the sin function will give you the ratio of those two sides. It's wave-like graph function also makes it useful for things like making an object float up and down smoothly. Sin, cos, tan, and such are pretty complex, and might need a bit more explaining, here's the absolute basics to it, so you get what it is and does.
Give me a second and I'll also give an overview of velocity.
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If you want a good tutorial on velocity for platformers (side view movement), here's one you can look at, just click the velocity and sensing tabs.
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