NapkinCalc

Physics 1 — Motion & Energy

Kinematics, free fall, projectiles, Newton’s laws, friction, and energy conservation — all with units.

Mechanics in four ideas: things move (kinematics), forces change motion (Newton), and two bookkeeping tricks — energy and momentum — let you skip the details. Every quantity below carries real units; the engine checks them for you. Change any input and the chain recomputes.

  1. 01 Motion with constant acceleration Two equations cover almost everything: v = v₀ + a·t tells you how fast, and d = v₀·t + ½·a·t² tells you how far.
  2. 02 Free fall Drop something: gravity supplies a constant acceleration g ≈ 9.81 m/s², so the same equations apply with v₀ = 0. Note the fall time grows with the SQUARE ROOT…
  3. 03 Projectile motion Launch at an angle and the motion splits cleanly in two: horizontal velocity never changes; vertical velocity is free fall. The two only share the clock.
  4. 04 Newton’s second law & friction F = m·a, but the F is the NET force. Push a box and friction pushes back with f = μ·N, where N is how hard the surfaces press together — on level ground, just…
  5. 05 Energy conservation Lift a mass and you bank m·g·h of potential energy; drop it and the bank converts to kinetic energy ½·m·v². No air resistance means nothing leaks — the check…

next course: Physics 2 — Momentum & Waves →