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Although these two words can be used interchangably they are very very different. Its easier to explain if you break down their equatoins.
Speed = distance / time
Velocity = displacement / time
The difference between distance and displacement is difficulat to explain but is best described as the following:
Distance is a scalar property that refers to how much ground an oject has covered during its motion.
Displacement is a vector quantity that refers to how far our of place an object is, i.e the objects overall change in position.
The differences in these will become more apparent when studying forces and equations of motion so do not worry if you cannot get your head around the definitions at this instantsee more
Sin(x), Cos(x) and Tan(x) are very useful functions and can be used to solve algerbraic problems where the aim is to find the size of an angle or a size.
Sin(x) = Opposite/Hypotenuse
Cos(x) = Adjacent/Hypotenuse
Tan(x) = Opposite/Adjacent
these are the equations you must rearrange to solve the problems. for example if you're looking to find the length of hypotenuse side and have the angle, x and the length of the adjacent of side you rearrange the equation to be:
This can be confusing at first but can become second nature very quickly if you work through lots of problems.
A great way of remembering the equations is: