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The '''velocity''' of an object is a combination of both speed and direction: in formal terms, it is the rate of change of the object's [[displacement]], and the direction of that change. If the position of an object is some [[function]] of [[time]], then the velocity is the [[derivative]] of that function:
The '''velocity''' of an object is a combination of both speed and direction: in formal terms, it is the rate of change of the object's [[displacement]], and the direction of that change. If the position of an object is some [[function]] of [[time]], then the velocity is the [[Derivative (calculus)|derivative]] of that function:
:<math>\vec v(t)={\mathrm{d}\vec x \over \mathrm{d}t}</math>
:<math>\vec v(t)={\mathrm{d}\vec x \over \mathrm{d}t}</math>