Calculator Suite

Velocity-Squared Calculator

Calculate velocity, initial velocity, acceleration, or displacement using v² = u² + 2as

Velocity-Squared Problem Setup

Use v² = u² + 2as to solve for final velocity, initial velocity, acceleration, or displacement

How far to stop from highway speed?

What acceleration needed to reach target velocity?

Velocity after falling a certain distance

Earth Gravity (-9.81 m/s²)

Velocity-Squared Formula

Third equation of motion - velocity without time

v^2 = u^2 + 2as

$v$ = Final velocity

$u$ = Initial velocity

$a$ = Acceleration

$s$ = Displacement

From the two kinematic equations:

v = u + at

s = ut + \frac{1}{2}at^2

Eliminating time gives us:

v^2 = u^2 + 2as

Stopping Distances: How far a vehicle travels before stopping

Energy Analysis: Relating kinetic energy to motion

Ballistics: Projectile impact velocities

Safety Design: Crash barriers and safety zones

This equation is closely related to the work-energy theorem:

Work = \Delta KE = \frac{1}{2}m(v^2 - u^2)

Where Work = Force × Distance = mas

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