Calculator Suite

Linear Motion Calculator

Calculate final velocity, initial velocity, acceleration, or time using v = u + at

Linear Motion Problem Setup
Use v = u + at to solve for final velocity, initial velocity, acceleration, or time

Select which variable you want to calculate

Known Variables

Enter initial velocity in m/s

Enter acceleration in m/s²

Enter time in s

Common Scenarios

Car Acceleration

Car accelerating from rest at 3 m/s² for 10 seconds

Vehicle Braking

How long to stop from highway speed

Free Fall

Object falling under gravity for 3 seconds

Quick Presets

Earth Gravity (-9.81 m/s²)
Linear Motion Formula
First equation of motion for constant acceleration

The Equation

v=u+atv = u + at

vv = Final velocity

uu = Initial velocity

aa = Acceleration

tt = Time

Derivation

From the definition of acceleration:

a=vuta = \frac{v - u}{t}

Rearranging for final velocity:

v=u+atv = u + at

Applications

Vehicle Dynamics: Car acceleration and braking analysis

Free Fall: Objects dropping under gravity

Sports Science: Sprint acceleration analysis

Engineering: Machinery and robotics motion control

Linear Motion Calculator | Calculator Suite