Constant Acceleration Distance Calculator

About this calculator

The equation d = v₀t + ½at² is one of the classic "SUVAT" kinematics equations describing motion under constant acceleration, where d is distance traveled, v₀ is initial velocity, a is acceleration, and t is elapsed time. It comes directly from integrating a constant acceleration over time — first to get velocity, then again to get position — and is paired with v_f = v₀ + at to find the final velocity at the end of the interval.

Physics courses use this pair of equations as the foundation for analyzing straight-line motion, and they carry over directly into real engineering problems: calculating a car's braking or takeoff-roll distance from a known acceleration, working out how far a dropped or launched object travels under gravity, or sizing a conveyor or elevator's travel distance during its acceleration phase.

This calculator takes initial velocity, acceleration, and time and returns both the distance traveled and the final velocity.