This is the first set of equations for the AP Physics B exam.
Newtonian Mechanics

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velocity with a, no x

v = v₀-at

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position with a, no v

x = x₀+v₀t+½at²

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velocity with a, no t

v²=v₀²+2a(x-x₀)

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Centripetal Acceleration

a=v²/r

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Change in Gravitational Potential Energy

ΔU=mgΔh

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Work done by a force at an angle

W=FΔrcosθ

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Power of an object in motion

P=Fvcosθ

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Restoring force of a spring

F=-kx

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Elastic Potential Energy

U=½kx²

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Period of an object oscillating on a spring

T=2π√(m/k)

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Period of a pendulum for small angles

T=2π√(l/g)

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Period and frequency relationship

T=1/f

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Newton's Universal Law of Gravitation

F=-(Gm₁m₂)/(r²)

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Gravitational Potential Energy

U=-(Gm₁m₂)/(r)