🏁 Kinematic Equations (SUVAT) Calculator
Enter any three of u, v, a, s and t, and the calculator picks the right kinematic equations and solves for the remaining two.
Enter any three of the five — leave two blank
u (given)
0
m/s
v
29.4
m/s
a (given)
9.8
m/s²
s
44.1
m
t (given)
3
s
Solves the five kinematic (SUVAT) equations: v = u+at · s = ½(u+v)t · v² = u²+2as · s = ut+½at² · s = vt−½at². Constant acceleration. 🔒 In your browser.
How the kinematic equations (suvat) calculator works
For constant acceleration, five variables — initial velocity u, final velocity v, acceleration a, displacement s and time t — are linked by the SUVAT equations: v = u + at, s = ½(u+v)t, v² = u² + 2as, s = ut + ½at², and s = vt − ½at². Given any three, the tool determines which equations apply and solves for the other two exactly.
The square root in v² = u² + 2as is exactly the kind of algebra chatbots get wrong; here the rearrangement is exact. Where a square root allows two signs, the positive root is shown — the other direction is equally valid depending on your sign convention.
Frequently asked questions
What are the SUVAT equations?
The five kinematic equations for constant acceleration: v = u + at, s = ½(u+v)t, v² = u² + 2as, s = ut + ½at², and s = vt − ½at². SUVAT stands for the variables s (displacement), u (initial velocity), v (final velocity), a (acceleration) and t (time).
How many values do I need to enter?
Exactly three. With any three of the five variables known, the other two are fully determined for constant acceleration.
Which equation should I use?
The one that contains your three known variables and the one you want. This tool selects it automatically — pick the missing quantities and it solves them.
Do these work for vertical motion and gravity?
Yes — set a to the acceleration due to gravity (about 9.8 m/s², or −9.8 if you take up as positive). Free fall and projectile vertical motion are SUVAT problems.
Why might there be two answers?
Equations with v² can give a positive or negative root (an object can pass a point moving forwards or backwards). The tool shows the positive root; interpret the sign from your chosen direction.
Do the SUVAT equations assume constant acceleration?
Yes — they are only valid when acceleration is constant. For changing acceleration you need calculus, not SUVAT.