Displacement Calculator
Displacement measures the change in position of an object under constant acceleration. Using the kinematic equation s = v₀t + ½at², this calculator determines how far an object travels, its final velocity, and its average velocity over a given time interval.
The displacement formula s = v₀t + ½at² is one of the four fundamental kinematic equations for uniformly accelerated motion. It combines the distance traveled due to initial velocity (v₀t) with the additional distance from acceleration (½at²).
The final velocity v = v₀ + at tells you how fast the object is moving at the end of the time period. The average velocity is simply the mean of initial and final velocities, which for constant acceleration equals (v₀ + v) / 2. This also equals the total displacement divided by the total time.
These equations assume constant (uniform) acceleration. They apply to many real-world scenarios: a car accelerating from a stop light, an object in free fall (where a = g = 9.81 m/s²), or a spacecraft firing its engines. For non-uniform acceleration, calculus-based methods are required.