BYTETOOLS

Acceleration Calculator

Solve the SUVAT kinematic equations online. Enter any three of displacement, initial and final velocity, acceleration and time to find the other two.

Enter any three values and leave the two unknowns blank. For free fall from rest, use u = 0 and a = 9.80665 (standard gravity).

0
u (m/s)
19.6133
v (m/s)
9.8067
a (m/s²)
2
t (s)
19.6133
s (m)

Equations used

  • v = u + at
  • s = ut + ½at²

Valid for constant (uniform) acceleration only.

What is the Acceleration Calculator?

The ByteTools Acceleration Calculator is a full SUVAT solver for uniformly accelerated motion. Enter any three of the five kinematic variables — displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t) — and it computes the remaining two, telling you exactly which equations it used.

  • Solves all ten 3-known combinations of u, v, a, t, s
  • Shows which SUVAT equation produced each answer
  • Handles deceleration (negative a) and negative velocities
  • Flags physically impossible inputs instead of returning nonsense
  • Free-fall hint using g = 9.80665 m/s²
  • 100% private — runs entirely in your browser

How to use the Acceleration Calculator

  1. 1

    Enter any three of: initial velocity u, final velocity v, acceleration a, time t, displacement s.

  2. 2

    Leave the two unknowns blank.

  3. 3

    Read the solved values and the kinematic equations that were used.

  4. 4

    For free fall, set u = 0 and a = 9.80665 (standard gravity).

  5. 5

    Copy the full solution with one click.

About the Acceleration Calculator

The ByteTools Acceleration Calculator is a full SUVAT solver for uniformly accelerated motion. Enter any three of the five kinematic variables — displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t) — and it computes the remaining two, telling you exactly which equations it used.

The solver works from the four standard equations: v = u + at, s = ut + ½at², v² = u² + 2as, and s = ½(u + v)t. These hold whenever acceleration is constant, which covers free fall, braking cars, launched projectiles along one axis, and most introductory physics problems.

Enter values in SI units (metres, seconds, m/s, m/s²) and leave exactly two boxes blank. All computation happens 100% locally in your browser — nothing is uploaded, and it works offline.

Frequently asked questions

What are the SUVAT equations?

They are the equations of uniformly accelerated motion linking displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t): v = u + at, s = ut + ½at², v² = u² + 2as and s = ½(u + v)t. Any three known variables determine the other two.

How do I calculate acceleration from velocity and time?

Acceleration is the change in velocity divided by time: a = (v − u) ÷ t. A car going from 0 to 27 m/s (about 100 km/h) in 9 seconds accelerates at 3 m/s². If the result is negative, the object is slowing down.

How far does an object fall in 2 seconds?

Starting from rest with a = g = 9.80665 m/s², displacement is s = ½at² = ½ × 9.80665 × 4 = 19.61 m, and it reaches v = 19.61 m/s. Air resistance is ignored, which is a good approximation for dense objects over short drops.

Why does the calculator sometimes give two possible times?

When solving s = ut + ½at² for time, the quadratic can have two positive roots — for example a ball thrown upward passes the same height twice. The calculator returns the physically meaningful non-negative solution and notes when a second one exists.

Do these equations work if acceleration changes?

No — SUVAT assumes constant acceleration. For variable acceleration (like a rocket losing mass or air resistance growing with speed) you need calculus-based methods. Over short intervals where acceleration is roughly constant, SUVAT is still a useful approximation.

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