Displacement Calculator

Displacement is the straight-line change in position of an object from its starting point to its ending point, including direction. It is one of the five SUVAT quantities that describe motion under constant acceleration, and this calculator solves for it using whichever combination of values you have. In the first mode you enter the initial velocity, the constant acceleration, and the elapsed time, and the calculator applies the equation s = ut + 0.5at2 to find how far the object has moved. This is the most common form: an object starting at rest and falling under gravity, for example, has zero initial velocity and an acceleration of 9.81 m/s2 downward. In the second mode you enter the initial velocity, the final velocity, and the acceleration, and the calculator uses s = (v2 - u2) / 2a. This is handy when you know how fast something started and ended but not how long it took. Both equations assume constant acceleration throughout the motion. The calculator also returns the final velocity (from the first mode) and the average velocity over the interval, so you get a full picture of the motion with a single calculation. Results update as you type. A note on signs: enter negative values for deceleration or motion in the opposite direction. The default example has an object starting from rest (u = 0), accelerating at 9.81 m/s2 for 3 s, which gives a displacement of 44.15 m, equivalent to free fall under gravity for three seconds. Use this tool for physics homework, projectile and freefall problems, or any situation involving constant acceleration.

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Assumes constant acceleration. Use negative values for deceleration or reversed direction. Results in SI units, rounded for display.