Kinematics Formulas and Definitions
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Catégorie :Category: nCreator TI-Nspire
Auteur Author: efischbacher
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 1.78 Ko KB
Mis en ligne Uploaded: 26/02/2025 - 12:46:17
Uploadeur Uploader: efischbacher (Profil)
Téléchargements Downloads: 2
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4518961
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 1.78 Ko KB
Mis en ligne Uploaded: 26/02/2025 - 12:46:17
Uploadeur Uploader: efischbacher (Profil)
Téléchargements Downloads: 2
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4518961
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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MOTION ALONG A STRAIGHT LINE - KEY FORMULAS DISPLACEMENT Change in position: x = xf - xi (xf = final position, xi = initial position) Units: meters (m) AVERAGE VELOCITY v_avg = x / t (x = displacement, t = time interval) Units: meters per second (m/s) INSTANTANEOUS VELOCITY vx = dx/dt (Velocity at a specific moment) AVERAGE ACCELERATION a_avg = vx / t (Change in velocity over time) Units: meters per second squared (m/s²) INSTANTANEOUS ACCELERATION ax = dvx/dt (Acceleration at a specific moment) KINEMATIC EQUATIONS (FOR CONSTANT ACCELERATION) (Use when acceleration is constant) Velocity as a function of time vx = v0x + ax * t (Use when displacement x is unknown) Position as a function of time x = x0 + v0x * t + (1/2) * ax * t^2 (Use when final velocity vx is unknown) Velocity as a function of displacement vx^2 = v0x^2 + 2 * ax * (x - x0) (Use when time t is unknown) Displacement using average velocity x - x0 = ((v0x + vx) / 2) * t (Use when acceleration ax is unknown) FREE FALL (WHEN ONLY GRAVITY ACTS) (Gravity acceleration = g = 9.8 m/s² downward) Velocity at time t : v = v0 - g * t Displacement at time t : y = y0 + v0 * t - (1/2) * g * t^2 Velocity squared relation: v^2 = v0^2 - 2 * g * (y - y0) Made with nCreator - tiplanet.org
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Compatible OS 3.0 et ultérieurs.
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MOTION ALONG A STRAIGHT LINE - KEY FORMULAS DISPLACEMENT Change in position: x = xf - xi (xf = final position, xi = initial position) Units: meters (m) AVERAGE VELOCITY v_avg = x / t (x = displacement, t = time interval) Units: meters per second (m/s) INSTANTANEOUS VELOCITY vx = dx/dt (Velocity at a specific moment) AVERAGE ACCELERATION a_avg = vx / t (Change in velocity over time) Units: meters per second squared (m/s²) INSTANTANEOUS ACCELERATION ax = dvx/dt (Acceleration at a specific moment) KINEMATIC EQUATIONS (FOR CONSTANT ACCELERATION) (Use when acceleration is constant) Velocity as a function of time vx = v0x + ax * t (Use when displacement x is unknown) Position as a function of time x = x0 + v0x * t + (1/2) * ax * t^2 (Use when final velocity vx is unknown) Velocity as a function of displacement vx^2 = v0x^2 + 2 * ax * (x - x0) (Use when time t is unknown) Displacement using average velocity x - x0 = ((v0x + vx) / 2) * t (Use when acceleration ax is unknown) FREE FALL (WHEN ONLY GRAVITY ACTS) (Gravity acceleration = g = 9.8 m/s² downward) Velocity at time t : v = v0 - g * t Displacement at time t : y = y0 + v0 * t - (1/2) * g * t^2 Velocity squared relation: v^2 = v0^2 - 2 * g * (y - y0) Made with nCreator - tiplanet.org
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