Instantaneous velocity expression is a mathematical expression that represents the rate of change of an object's position at a specific moment in time. It is the derivative of an object's position with respect to time.
Instantaneous velocity expression represents the velocity of an object at a specific instant, while average velocity represents the overall velocity of an object over a given time interval. Instantaneous velocity can vary greatly within a given time interval, while average velocity is a constant value.
The formula for instantaneous velocity expression is v = lim Δt → 0 (Δx/Δt), where v represents velocity, Δx represents change in position, and Δt represents change in time. This formula is based on the fundamental concept of calculus known as the derivative.
Instantaneous velocity expression is a crucial concept in physics as it allows us to accurately describe and predict the motion of objects. It is used in various equations, such as those for acceleration, force, and work, to calculate the behavior of objects in motion.
Some real-life examples of instantaneous velocity expression include calculating the speed of a moving car at a specific moment in time, determining the velocity of a falling object at a given instant, and finding the rate of change of position of a runner during a race.