Maxi Calculator

SUVAT Calculator

Calculate motion parameters using SUVAT equations

SUVAT Calculator

Enter the displacement in meters (optional)

Enter the initial velocity in m/s (optional)

Enter the final velocity in m/s (optional)

Enter the acceleration in m/s² (optional)

Enter the time in seconds (optional)

Table of Contents
What is SUVAT?

SUVAT is a set of equations used in kinematics to describe motion under constant acceleration. The letters stand for:

  • S - Displacement (position relative to starting point)
  • U - Initial velocity
  • V - Final velocity
  • A - Acceleration (constant)
  • T - Time

These equations are fundamental in physics for solving problems involving uniformly accelerated motion in a straight line.

SUVAT Equations

The Five Key Equations

  • v = u + at
  • s = ut + ½at²
  • s = vt - ½at²
  • v² = u² + 2as
  • s = ½(u + v)t

Using the Equations

  • Each equation uses a different combination of variables
  • You need three known variables to find the others
  • Choose the equation that contains your known variables
  • Units must be consistent (SI units recommended)
Applications

Common Applications

  • Free fall motion
  • Vehicle acceleration and braking
  • Projectile motion (vertical component)
  • Elevator motion
  • Sports physics

Limitations

  • Only applies to constant acceleration
  • Motion must be in a straight line
  • Ignores air resistance and friction
  • Not suitable for circular motion
Examples

Example 1: Free Fall

An object is dropped from a height of 20m:

  • Initial velocity (u) = 0 m/s
  • Acceleration (a) = 9.81 m/s²
  • Displacement (s) = -20 m
  • Using v² = u² + 2as:
  • Final velocity = 19.8 m/s
  • Time of fall = 2.02 seconds

Example 2: Car Motion

A car accelerates from rest:

  • Initial velocity (u) = 0 m/s
  • Acceleration (a) = 3 m/s²
  • Time (t) = 10 seconds
  • Using s = ut + ½at²:
  • Distance traveled = 150 meters
  • Final velocity = 30 m/s
Frequently Asked Questions

Why do we need three variables to solve SUVAT equations?

SUVAT equations involve five variables. To find the remaining variables, you need at least three known values to create a solvable equation system.

When should I not use SUVAT equations?

SUVAT equations are not suitable for situations with varying acceleration, circular motion, or when forces like air resistance significantly affect the motion.

What units should I use with SUVAT equations?

SI units are recommended: meters (m) for displacement, meters per second (m/s) for velocity, meters per second squared (m/s²) for acceleration, and seconds (s) for time.