Motion equations derived
Work, energy, power
Wave mechanics explained
E&M fundamentals
Select a formula and click "Derive Formula" to see the step-by-step derivation
Click "Derive Formula" to begin the physics derivation.
Complete the derivation to see the final formula.
Always check that units match on both sides of an equation.
// Kinetic Energy: KE = ½mv²
// Units check:
// [KE] = kg × (m/s)²
// = kg × m²/s²
// = J �?(Joules)Many derivations assume specific initial conditions like v₀=0 or x₀=0.
// WRONG: Assuming v₀ = 0
s = ½at² (only if starting from rest!)
// CORRECT: General form
s = v₀t + ½at²Understanding derivations helps you: 1) Know when formulas apply, 2) Modify them for different situations, 3) Catch errors by checking physical meaning, 4) Remember them longer through understanding.
Dimensional analysis checks that units are consistent. Both sides of a physics equation must have the same units. It's a powerful way to verify formulas and catch mistakes.
Identify what you know (given variables) and what you need to find. Choose formulas that connect these variables. Check that assumptions (constant acceleration, no friction, etc.) match your problem.