Formula Sheet

This page contains equations and constants that you may find useful during this course. You are welcome to print a copy of this page and use it during tests but you may not annotate the this page in any way if you are going to use it in a test situation - it is your responsibility to understand these equations and their limitations...

Equations

	v_av = (x₂ - x₁) / (t₂ - t₁) = Δx / Δt
	v = dx / dt
	v_av = (r₂ - r₁) / (t₂ - t₁) = Δr / Δt
	v = dr / dt
	*a_av* = (*v₂ - v₁) / (t₂ - t₁*) = Δv / Δt
	a = dv / dt The next 5 equations assume that the acceleration is constant and that motion is linear:

	a = (*v - v₀*) / t
	v = v₀ + a t
	Δx = ½ (v + v₀) t
	Δx = v₀t + ½ a t ²
	v² = v₀² + 2 a Δx
	F_cent = mv² / r
	F_net = ma
	W = mg
	f_s <= µ_s n
	f_{s max} = µ_s n
	f_k <= µ_k n
	µ = tan θ
	component of weight perpendicular to inclined plane = n = mg sin θ
	component of weight parallel to inclined plane = mg cos θ
	p = m v
	F t = Δp

Constants

g = 9.81 m / s² (you may take g = 10 m / s² unless told otherwise)

Density of water = 1000 kg / m³

Density of air at atmospheric pressure and 20°C = 1.2kg / m³