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Kinematics formulas
13 formulas for Kinematics, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| First equation of motion | v = u + at 🧮 Solve step by step | m/s |
| Second equation of motion | s = ut + ½at² 🧮 Solve step by step | m |
| Third equation of motion | v² = u² + 2as 🧮 Solve step by step | |
| Distance in n-th second | sₙ = u + a(2n − 1)/2 🧮 Solve step by step | m |
| Average velocity | v_avg = total displacement / total time | m/s |
| Free fall | v = gt; h = ½gt²; v² = 2gh 🧮 Solve step by step | |
| Projectile — time of flight | T = 2u sin θ / g 🧮 Solve step by step | s |
| Projectile — maximum height | H = u² sin²θ / 2g 🧮 Solve step by step | m |
| Projectile — range | R = u² sin 2θ / g 🧮 Solve step by step | maximum at θ = 45° |
| Projectile — trajectory | y = x tan θ − gx² / (2u² cos²θ) 🧮 Solve step by step | |
| Relative velocity | v_AB = v_A − v_B 🧮 Solve step by step | |
| Uniform circular motion | v = ωr; a_c = v²/r = ω²r 🧮 Solve step by step | m/s² |
| Angular kinematics | ω = ω₀ + αt; θ = ω₀t + ½αt²; ω² = ω₀² + 2αθ 🧮 Solve step by step |
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