what is instantaneous speed

Instantaneous speed is the speed of an object at a particular moment in time. It is a scalar quantity that measures how fast an object is moving at a specific instant, without regard to the direction of motion. Instantaneous velocity, on the other hand, is a vector quantity that includes both the speed and the direction in which the object is moving. It is defined as the limit of the average velocity as the elapsed time approaches zero, or the derivative of position with respect to time. The formula for instantaneous speed is the same as that for average speed, which is distance traveled divided by the time taken, but it is evaluated at a specific instant in time. Instantaneous speed can be found by using calculus, by looking at the slope of a given point on a graph of an objects rate vs. time, or by using kinematic formulas if the objects acceleration is constant.