Physics I cheat sheet

# Physics I cheat sheet - 1-d Kinematics Uniform Acceleration...

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m θ θ 1-d Kinematics: average velocity = - - x2 x1t2 t1 instantaneous velocity = = + - ( ) = lim∆t 0∆x∆t xt ∆t x t ∆t dxdt average acceleration = - - v2 v1t2 t1 instantaneous acceleration = lim = + - ( ) = ∆t 0∆v∆t vt ∆t v t ∆t dvdt Uniform Acceleration Important Equations: = at constant , a=9.80 m/s 2 for gravity = + vt v0 at = + + xt x0 v0t 12at2 = + - v2 v02 2ax x0 , only if a is a constant Problem Solving Steps 1. Make a sketch 2. Pick a coordinate system 3. Make a table of all given information 4. Pick the equation and solve 5. Check against common sense Kinematics in Two Directions: average velocity: = v ∆r∆t instantaneous velocity: = v lim∆t 0drdt Major Equations: For Uniform Acceleration: = rt + + r0 v0t 12at2 = + vt v0 at = at constant Projectile Motion: x-components y-components = ax 0 =- . / ay 9 8 m s2 = vx v0x = + vy v0y ayt = + x x0 v0xt = + + y y0 v0yt 12ayt2 Horizontal Range Equation: = ( ) R v02gsin 2θ For Uniform Circular Motion: velocity=constant, v is tangent to the circular trajectory = v 2πrT acceleration = v2r , a points toward center of rotation frequency = 1T Relative Velocity Rules: 1. =- VAB VBA 2. = + VAC VAB VBC 3. Equilibrium: 4. = , ⇒ = , = F 0 a 0 v constant 5. = , ⇒ = , = τ 0 α 0 ω constant 6. Stable: will return to equilibrium after slight perturbation 7. Unstable: slight perturbation upsets equilibrium 8. Neutral: perturbation causes system to find new equilibrium 9. Hydrostatics:

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Physics I cheat sheet - 1-d Kinematics Uniform Acceleration...

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