Kinematics & Free Fall

Kinematics Solver (SUVAT)

Calculate Velocity, Displacement, Time, or Acceleration.

Active Formula

Motion Graph

Velocity vs Time & Displacement vs Time

Kinematic Equations (SUVAT)

These standard equations describe motion under constant acceleration. They relate five variables: $s$ (displacement), $u$ (initial velocity), $v$ (final velocity), $a$ (acceleration), and $t$ (time).

Key Formulas
  • Velocity-Time:
  • Displacement-Time:
  • Velocity-Displacement:
  • Displacement (Avg Vel):

Kinematics Guide Guide

How to Use

  1. 1Select the variable you want to solve for (Displacement, Initial Velocity, Final Velocity, Acceleration, or Time).
  2. 2Enter the three known variables. Leave the unknown blank.
  3. 3Click calculate to find the missing values.

Formula & Logic

The kinematics equations (SUVAT equations) describe the motion of objects under constant acceleration. They relate displacement, initial velocity, final velocity, acceleration, and time.

v= Final Velocity
u= Initial Velocity
a= Acceleration
t= Time
s= Displacement

Practical Applications

Free Fall Physics

Calculate how fast an object is falling after a certain time (using 9.8 m/s² as acceleration).

Vehicle Performance

Determine the time or distance required for a car to accelerate from 0 to 60 mph.

Braking Distance

Calculate the distance needed for a vehicle to stop given its initial speed and deceleration rate.

Frequently Asked Questions

Q.What does SUVAT stand for?

SUVAT is an acronym for the variables: S (Displacement), U (Initial velocity), V (Final velocity), A (Acceleration), and T (Time).

Q.When can I use these kinematic equations?

These equations are valid ONLY when acceleration is constant (uniform). They cannot be used if acceleration changes over time.

Q.What acceleration should I use for gravity?

On Earth, the standard acceleration due to gravity is approximately 9.8 m/s² (or 32.2 ft/s²), directed downwards.