Kinematics Eq. #1

V_f = V_i + at

Kinematics Eq. #2

x = 1/2 (V_f + V_i) t

Kinematics Eq. #3

x = V_i t + 1/2 a t²

Kinematics Eq. #4

V_f² = V_i² + 2ax

Force

F_net = ma

Frictional Force

f_f = µ f_n

Static Friction

f_s = µ_s R_n

Kinetic Friction

f_k = µ_k R_n

Centripetal Force

F_c = (mv²) / r

Centripetal Acceleration

a_c = v² / r

Impulse

J = Δp = FΔt

Kinetic Energy

K = 1/2 mv²

Gravitational Potential Energy

ΔU_g = mgh

Conservation of Energy

E_total = KE + PE

KE_i + PE_i = KE_f + PE_f

Work

W = F Δd cosθ

Power

P = F v cosθ

Power_avg

P_avg = W / Δt

Hooke's Law

F_s = -kx

Torque

τ = r F sinθ

Momentum

p = mv

Conservation of Momentum

m₁v₁ⁱ + m₂v₂ⁱ = m₁v₁^f + m₂v₂^f

Perfect Inelastic Collisions

m₁v₁ + m₂v₂ = (m₁ + m₂) v

Velocity of a Banked Curve

v = √(r g tanθ)