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16 wrz 2015 · Sep 17, 2015. v = dx dt. This means that the velocity over a certain period of time is the instantaneous change in position (dx) over the instantaneous change in time (dt). This period of time is intentionally very small, hence "instantaneous".
The equation v = d/t defines velocity (v) as the rate at which an object moves, calculated by dividing the distance (d) it travels by the time (t) taken to travel that distance.
To state this formally, in general an equation of motion M is a function of the position r of the object, its velocity (the first time derivative of r, v = dr / dt ), and its acceleration (the second derivative of r, a = d 2 r / dt 2 ), and time t.
In terms of a displacement-time (x vs. t) graph, the instantaneous velocity (or, simply, velocity) can be thought of as the slope of the tangent line to the curve at any point, and the average velocity as the slope of the secant line between two points with t coordinates equal to the boundaries of the time period for the average velocity.
The speed at time t 0 is called the initial speed v 0 and the speed at time t 1 is called the final velocity v. The time difference Δt and the distance difference Δs are represented in a simplified manner by t and s.
Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector. Speed gets the symbol v (italic) and velocity gets the symbol v (boldface).
