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
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
= Final velocity
= Initial velocity
= Acceleration
= Time
Derivation
From the definition of acceleration:
Rearranging for final velocity:
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
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