Distance traveled refers to the total length or path covered by an object as it moves from one point to another. In calculus, we can find distance traveled by taking the integral of a velocity function over a specific time interval.
Speed is a scalar quantity that measures how fast an object is moving without considering its direction. It represents the rate at which distance changes with respect to time.
Velocity is a vector quantity that includes both speed and direction. It describes how quickly an object changes its position in space with respect to time.
Displacement refers to the change in position of an object from its initial point to its final point. Unlike distance traveled, displacement takes into account direction and can be positive, negative, or zero depending on whether motion occurs forward, backward, or not at all.