Mechanics · Kinematics

SUVAT Calculator

Solve straight-line motion under constant acceleration — enter any three of s, u, v, a, t and watch the v–t sketch fill in as the missing values resolve.

Motion variables
Enter known values — leave blanks for SUVAT to solve
s
u
v
a
t

0/3 minimum — add 3 more values

s
u
v
a
t

Live motion preview

Velocity–time preview

Enter u, v, and t to sketch motion and shade displacement

Results

Awaiting inputs

v = u + at · s = ut + ½at²

sDisplacement

—

uInitial velocity

—

vFinal velocity

—

aAcceleration

—

tTime

—

Enter any three of s, u, v, a, t — the missing pair fills in automatically.

About SUVAT kinematics

Five equations for straight-line motion under constant acceleration.

SUVAT names the five variables in uniform-acceleration kinematics: displacement s, initial velocity u, final velocity v, acceleration a, and time t. Given any three, the others follow — this calculator picks the right equation automatically.

  • v = u + atFinal velocity from initial speed and constant acceleration
  • s = ut + ½at²Displacement with initial velocity
  • s = ((u + v)/2)tDisplacement via average velocity
  • v² = u² + 2asLinks velocities to displacement without time
  • s = vt − ½at²Displacement from final velocity
s

Displacement

Distance traveled along the line of motion

u

Initial velocity

Speed at t = 0 in the positive direction

v

Final velocity

Speed after time t

a

Acceleration

Constant rate of change of velocity

t

Time

Duration of the motion interval

  • Constant acceleration — a does not change over the interval
  • Linear motion — motion along a straight line with a fixed sign convention
  • Point particle — no rotation or internal deformation
  • Inertial frame — neglect relativistic effects at everyday speeds

Physics

  • Free fall
  • Projectile components
  • Particle kinematics
  • Collision prep

Engineering

  • Vehicle braking distance
  • Elevator profiles
  • Robotics waypoints
  • Conveyor timing

Everyday

  • Sports sprint analysis
  • Traffic stopping distance
  • Drop tests
  • Ballistics estimates
  • At 100 km/h, a car travels ~28 m every second — SUVAT turns speed + decel into stopping distance.
  • Galileo rolled balls down ramps to isolate constant acceleration before writing the equations.
  • The area under a v–t graph equals displacement — that's why s = ((u + v)/2)t works.
  • Drag makes real projectiles non-uniform; SUVAT is the first pass before numerical integration.
  • Sign convention matters: pick positive direction once and keep u, v, a, and s consistent.