A dropped ball
From rest with a = 9.8 m/s² for 2 s: v = 19.6 m/s and s = 19.6 m.
Kinematics (SUVAT) Calculator
Solve constant-acceleration motion from any three of displacement, velocities, acceleration and time.
Result
Enter your values and select Calculate to see the result.
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How the Kinematics (SUVAT) Calculator works
For motion with constant acceleration, five quantities are linked: displacement s, initial velocity u, final velocity v, acceleration a and time t. Enter any three and leave the other two empty; the calculator picks the right equations. Use signs for direction — for example, take up as positive and use a = −9.81 m/s² for gravity.
Formulas
Velocity
v = u + at
Displacement
s = ut + ½at² · s = ½(u + v)t
Without time
v² = u² + 2as
Examples
Braking
From 20 m/s with a = −5 m/s² to a stop (v = 0): it takes 4 s and 40 m.
Frequently asked questions
What if the acceleration changes?
These equations only hold for constant acceleration; split the motion into stages.
Why two possible answers?
A thrown object passes the same height twice. The calculator gives the first time and says so.
Which units?
Metres, seconds, m/s and m/s². Convert other units first, for example with the Speed Converter.
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