Example 1
v₀ = 0, a = 3.5 m/s², t = 8 → s and vₖ.
SUVAT equations calculator
Type exactly three of the five fields. The calculator fills the rest at constant a: v₀ = 0, a = 3.5 m/s² and t = 8 s is s = 112 m and vₖ = 28 m/s. Leave two fields blank, not zero.
Result
Distance s, Initial speed v₀, Final speed vₖ and Acceleration a. The result shows up here.
How it works
SUVAT is four formulas at constant a. Type three inputs, leave two fields blank. v₀ = 0, a = 3.5 m/s², t = 8 s: s = ½ × 3.5 × 64 = 112 m, vₖ = 28 m/s. The same pair v₀ = 0, vₖ = 28, t = 8 gives a = 3.5 and s = 112 again. Braking: v₀ = 20 m/s, vₖ = 0, a = -5 m/s² gives s = 40 m. v₀ = 15, vₖ = 0, a = -6 gives s = 18.75 m.
v₀ = 10, vₖ = 20, a = 2: s = 75 m, t = 5 s. s = 100 m, a = 2, t = 10: v₀ = 0, vₖ = 20 m/s. s = 80 m with v₀ = vₖ = 10 m/s: t = 8 s, a = 0. s = 50 m, v₀ = 0, a = 4: t = 5 s, vₖ = 20 m/s. A blank field means unknown. Typed 0 is zero: start from rest, or rest at the end.
Five fields: s in meters, v₀ and vₖ in m/s, a in m/s², t in seconds. Exactly three need a number. Four filled or two filled is too many or too few. a may be negative. A comma and a period are the same a: 3,5 and 3.5. The model is uniformly accelerated: a stays constant on the whole stretch.
The simpler v₀, a, t card is accelerated motion: always that triple, s and vₖ on the way out. Decelerated motion wants a positive a and computes s and t_stop. Here any triple from five, with the sign of a from the problem.
F = m a is on the force page. Here it is kinematics, no mass. Impulse and momentum sit next door when the problem moves to J = Δp.
Leave s and vₖ blank, type 0, 3.5, and 8, click Calculate, and match 112 m and 28 m/s. Then 20, 0, and -5 for 40 m. The header symbol does not hold a constant.
s and vₖ from v₀, a, t only: accelerated motion. Braking: decelerated motion.
How to use
- Leave two fields blank. Fill exactly three of {s, v₀, vₖ, a, t}.
- Example: v₀ = 0, a = 3.5, t = 8. You get s and vₖ: 112 m and 28 m/s.
- Units from the labels. t in seconds. a may be negative, for example -5 while braking.
- Click Calculate. 0, 3.5, and 8 give 112 m and 28 m/s. 20, 0, and -5 give s = 40 m.
- If you only have v₀, a, t, you can also open accelerated motion. Positive braking is on decelerated motion.
Formula
vk = v0 + a t
s = v0t + ½a t2
vk2 = v02 + 2a s
s = ½(v0+vk)t
SUVAT: s, v₀, vₖ, a, and t
At constant a you type exactly three of five. v₀ = 0, a = 3.5 m/s² and t = 8 s is s = 112 m and vₖ = 28 m/s.
- s
- Distance [m]. ½ × 3.5 × 64 = 112 m. Blank s means unknown, not zero.
- v₀
- Initial speed [m/s]. Typed 0 is start from rest. Blank v₀ the calculator solves itself.
- a
- Acceleration [m/s²]. 3.5 or minus 5 when braking. Steady on interval t.
- t
- Time [s]. 8 s. Two blank fields, and t may be one of them.
Real-life examples
Example 2
v₀ = 20 m/s, vₖ = 0, a = −5 → s.
Example 3
v₀ = 0, vₖ = 28 m/s, t = 8.
Example 4
v₀ = 10 m/s, vₖ = 20 m/s, a = 2 m/s².
Example 5
s = 100 m, a = 2 m/s², t = 10.
Example 6
s = 80 m, v₀ = vₖ = 10 m/s → t.
Example 7
s = 50 m, v₀ = 0, a = 4 m/s².
Example 8
v₀ = 15 m/s, vₖ = 0, a = −6.
Example 9
v₀ = 5 m/s, a = 1 m/s², t = 20.
Ways to use this calculator
- You solve for s from v₀ = 0, a = 3.5 m/s², t = 8 s.
- Braking: v₀ = 20, vₖ = 0, a = -5, you want s.
Frequently asked questions
How much s and vₖ at v₀ = 0, a = 3.5 m/s², t = 8 s?
Distance is 112 m, final speed 28 m/s. That is s = ½ × 3.5 × 64 and vₖ = 0 + 3.5 × 8.
How many fields do I fill?
Exactly three. Leave two blank. Blank means unknown. Typed 0 is zero at the start, not an unknown.
Which units do I type?
Distance s [m], speeds v₀ and vₖ [m/s], acceleration a [m/s²], time t [s]. Convert an hour to seconds first.
Is blank v₀ zero?
No. Blank means unknown. Typed 0 is start from rest. The calculator needs exactly three numbers.
Can a be negative?
Yes. Braking: a = −5 m/s² with v₀ = 20 and vₖ = 0 gives s = 40 m. At 15, 0 and −6 you get s = 18.75 m.
How is this different from accelerated motion?
That page always uses v₀, a and t. Here any triple from the five SUVAT letters. There a is positive in the speeding-up sense.
What if I fill four fields?
The calculator reports an error. Leave two blank. Two filled is also too few: you still lack a third given.
How much at v₀ = 10, vₖ = 20 and a = 2?
You get s = 75 m and t = 5 s. At s = 50, v₀ = 0 and a = 4: t = 5 s, vₖ = 20 m/s.
Does a comma in 3.5 work?
Yes. 3.5 and 3,5 are the same a [m/s²]. A comma and a period mean the same value.
Where is F = m a?
On the force page. Here kinematics at constant a, with no mass field.
Knowledge sources
The formula is the school one. Units follow SI; NIST SP 330 and BIPM define the measures, not your result.
Page updated in 2026.