Key Physics Equations in Kinematics and Dynamics

Final velocity in uniform acceleration

v = u + at

Displacement with initial velocity and acceleration

s = ut + 1/2 at^2

Final velocity squared

v^2 = u^2 + 2as

Displacement using average velocity

s = (u + v)/2 * t

Acceleration

a = Δv / Δt

Newton's Second Law

F = ma

Weight

W = mg

Momentum

p = mv

Impulse

FΔt = Δp

Work done

W = Fd cos θ

Kinetic energy

KE = 1/2 mv^2

Gravitational potential energy

GPE = mgh

Power

P = W/t = Fv

Hooke's Law

F = kx

Stress

σ = F/A

Strain

ϵ = ΔL/L

Young's Modulus

E = σ/ϵ = (F/L) / (A/ΔL)

Elastic potential energy

E = 1/2 kx^2

Wave speed

v = fλ

Refractive index

n = sin i / sin r = v/c

Snell's Law

n1 sin θ1 = n2 sin θ2

Double-slit diffraction

λ = (a * x) / D

Ohm's Law

V = IR

Power using current and voltage

P = IV

Power using resistance

P = I^2 R

Power using voltage and resistance

P = V^2 / R

Charge

Q = It

Total resistance in series

R_total = R1 + R2 + R3 + ...

Total resistance in parallel

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

EMF with internal resistance

V = E - Ir

EMF in terms of total resistance

E = I(R + r)