👉 Velocity, in the context of physics and mathematics, particularly in kinematics, refers to the rate of change of an object's velocity with respect to time. It quantifies how quickly an object's speed is increasing or decreasing. Mathematically, velocity (v) is the derivative of displacement (s) with respect to time (t), or \( v = \frac{ds}{dt} \). This means if you know the position of an object as a function of time, you can find its velocity by taking the derivative of that position function. Velocity is a vector quantity, meaning it has both magnitude (how fast the object is moving) and direction. Understanding velocity is crucial for analyzing motion in various fields, from physics to engineering and even in everyday scenarios like driving or sports.
