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Displacement Calculator

🚗 Motion (kinematics). Use the Displacement (constant a) formula to find displacement s, start velocity u, time, acceleration: pick the value you want, type the others, and the answer updates as you go.

s=ut+12at2s = ut + \tfrac{1}{2}at^2
Displacement s45 m

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Displacement sm
Start velocity um/s
Times
Accelerationm/s²

Worked example

Find the displacement s when Start velocity u = 4 m/s, Time = 5 s, Acceleration = 2 m/s².

Using s = ut + 1/2at²: Displacement s = 45 m.

Frequently asked questions

What is the formula for Displacement (constant a)?

s = ut + 1/2at².

What do the letters stand for, and what units are used?

Displacement s in m, Start velocity u in m/s, Time in s, Acceleration in m/s².

How do you calculate displacement s?

Put the values into s = ut + 1/2at². For example, with Start velocity u = 4 m/s, Time = 5 s, Acceleration = 2 m/s², displacement s = 45 m.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (displacement s, start velocity u, time, acceleration) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas See it in the Motion Graphs simulation