👉 Speed, in mathematics, particularly in the context of physics and calculus, refers to the rate at which an object or a quantity changes over time or space. It's typically expressed as the change in distance or value per unit of time, often denoted mathematically as \( v = \frac{\Delta s}{\Delta t} \) for velocity, where \( v \) is velocity, \( \Delta s \) is the change in distance, and \( \Delta t \) is the change in time. Speed can be constant or variable; for instance, an object moving at a steady speed covers equal distances in equal intervals of time. In more complex scenarios, such as acceleration, speed changes over time, described by equations like \( v(t) = v_0 + at \), where \( v_0 \) is the initial velocity, \( a \) is the acceleration, and \( t \) is time. Understanding speed is crucial in fields like mechanics, engineering, and even economics, where rates of change are fundamental.
