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Some physics formulas that will be useful in kinematics. Not a truly complete list of formulas though, as some things are missing.I can't think of any more formulas for this cheat sheet though, so suggestions on what to add would be helpful.
Kinematics 2D MotionV = V0 + at  V0 = Initial velocity of object V = Final velocity of object a = Acceleration of object t = Time  V^{2} = V0 ^{2} + 2aΔx  V0 = Initial velocity of object V = Final velocity of object a = Acceleration of object Δx / Δy = Change in position  Δx = V0 t + ½at^{2}  Δx / Δy = Change in position V0 = Initial velocity t = Time a = Acceleration  F = ma  F = Force from object m = Mass of object a = Acceleration of object  Ff = μN  Ff = Force of friction μ = Coefficient of friction N = Normal force 
Note: Some formulas may involve BOTH the x and y directions, as well as incorporate other formulas outside kinematics.
MomentumFΔt = Δp = mV  mV0  FΔt = Δp = Impulse mV = Final momentum mV0 = Initial momentum  mVbefore  mV0before = mVafter  mV0after 
Note: Momentum is ALWAYS conserved. You may need to note that the momentum before is equal to the momentum after.
EnergyW = Fd  W = Work done F = Force applied d = Distance travelled  W = ΔKE = ½mV^{2}  ½mV0 ^{2}  W = Work done m = Mass of object V = Final velocity V0 = Initial velocity  Ug = mgh  Ug = Work done by gravity m = Mass g = Gravity h / d = Height or distance traveled  FS = kx  FS = Force of spring (Restored Force) k = Spring coefficient x = Distance from equilibrium  WS = US = ½kx^{2}  WS = Work done by spring k = Spring coefficient x = Distance from equilibrium  KE = ½mV^{2}  KE = Kinetic Energy m = Mass v = Velocity of object  KE + Ug + US = KE + Ug +US + W  KE = Kinetic Energy (is the object moving?) Ug = Work done by gravity (is the object above where you set x = 0?) US = Work done by spring (is a spring involved?) W = Friction (did energy go to friction?) 
Note: Energy is SOMETIMES conserved depending on the situation. Inelastic collisions cannot apply the conservation of energy because of the loss of energy. However, you can apply the conservation of energy for elastic collisions.
  Rotational Motionω = ω0 + αt  ω0 = Angular initial velocity ω = Angular final velocity α = Angular acceleration t = Time  ω^{2} = ω0 ^{2} + 2αθ  ω0 = Angular initial velocity ω = Angular final velocity α = Angular acceleration θ = Angular change in position  θ = ω0 t + ½αt^{2}  θ = Angular change in position ω0 = Angular initial velocity t = Time α = Angular acceleration  VT = rω  VT = Tangential (Linear) velocity r = Radius ω = Angular final velocity  aT = rα  aT = Tangential (Linear) acceleration r = Radius α = Angular acceleration  aC = VT ^{2} / r  aC = Centripetal acceleration VT = Tangential (Linear) velocity r = Radius  ar = rω^{2}  ar = Radial Acceleration r = Radius ω = Angular velocity  τ = F⊥ d  τ = Torque F⊥ = Perpendicular Forces d= Distance from Pivot Point  I = Σmr^2  I = Moment of Inertia (Rotational Moment / Rotational Intertia) Σmr^{2} = Total of each Mass x Radius Squared  KEC = 1/2(I)ω^{2}  KEC = Kinetic Circular Energy I = Moment of Inertia (Rotational Moment / Rotational Intertia) ω = Angular velocity  τ = Iα  τ = Torque I = Moment of Inertia (Rotational Moment / Rotational Intertia) α = Angular acceleration  KER = 1/2 IP ω^{2} = 1/2(ICOM + mh^{h})ω^{2} =1/2(m(VCOM )^{2}) + 1/2Iω^{2}  KER = Kinetic Rolling Energy 1/2(m(VCOM )^{2}) = Sliding Equation 1/2Iω^{2} = Rotation Equation  l = mrω  l = Momentum of a particle  L = Iω  L = Momentum of a rigid body (not a particle) 
NOTE:
 You may need to consider that ω = dθ / dt and α = dω / dt.
 Account for all objects rotating the pivot point when calculating I.
 Momentum is ALWAYS conserved.

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hannymichael, 23:06 14 Mar 21
very well organized
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