# Latex Formatted Equations for Algebraic Physics

I struggled with getting my formulas to look correct when they were printed out for years. I started using a markup language called LaTeX to consistently format my formulas and have been very happy with the results. Here are the markups for the formulas I use in my class. If you think I’m missing one that would be used in a conceptual / general physics class please use the contact form and let me know. I’d love to add it to my list

Equations by Category
Speed and Velocity

$$Speed\rightarrow S(\frac{m}s)=\frac{\displaystyle Distance(m)}{\displaystyle Time(s)}$ [latex]Speed\rightarrow S(\frac{m}s)=\frac{\displaystyle Distance(m)}{\displaystyle Time(s)}$
$Speed\rightarrow S=\frac{\displaystyle D}{\displaystyle T}$
$Speed\rightarrow S=\frac{\displaystyle D}{\displaystyle T}$
$Time\rightarrow T=\frac{\displaystyle D}{\displaystyle S}$
$Time\rightarrow T=\frac{\displaystyle D}{\displaystyle S}$
$Distance\rightarrow D=S*T$
$Distance\rightarrow D=S*T$
$Velocity\rightarrow V(\frac{m}s)=\frac{\displaystyle Displacement(m)}{\displaystyle Time(s)}$
$Velocity\rightarrow V(\frac{m}s)=\frac{\displaystyle Displacement(m)}{\displaystyle Time(s)}$
$Velocity\rightarrow V=\frac{\displaystyle D}{\displaystyle T}$
$Velocity\rightarrow V=\frac{\displaystyle D}{\displaystyle T}$
$Time\rightarrow T=\frac{\displaystyle D}{\displaystyle V}$
$Time\rightarrow T=\frac{\displaystyle D}{\displaystyle V}$
$Displacement\rightarrow D=V*T$
$Displacement\rightarrow D=V*T$
Acceleration
$Acceleration = \frac{\displaystyle Velocity_{final} - Velocity_{initial}}{\displaystyle Time}$
$Acceleration = \frac{\displaystyle Velocity_{final} - Velocity_{initial}}{\displaystyle Time}$
$Acceleration \rightarrow A = \frac{\displaystyle V_f - V_i}{\displaystyle T_i}$
$Acceleration \rightarrow A = \frac{\displaystyle V_f - V_i}{\displaystyle T_i}$
$Final\hspace{.1cm}Velocity \rightarrow V_f = V_i+(A*T)$
$Final\hspace{.1cm}Velocity \rightarrow V_f = V_i+(A*T)$
$Displacement \rightarrow D=D_i+(V_i*T)+(\frac12AT^2)$
$Displacement \rightarrow D=D_i+(V_i*T)+(\frac12AT^2)$
$Final\hspace{.1cm} Velocity\hspace{.1cm} (Without\hspace{.1cm}being\hspace{.1cm} given\hspace{.1cm} time) \rightarrow V^2=V_i^2+2A(D_f-D_i)$
$Final\hspace{.1cm} Velocity\hspace{.1cm} (Without\hspace{.1cm}being\hspace{.1cm} given\hspace{.1cm} time) \rightarrow V^2=V_i^2+2A(D_f-D_i)$
Force
$Force \rightarrow Force=Mass*Acceleration$
$Force \rightarrow Force=Mass*Acceleration$
$Force \rightarrow F=M*A$
$Force \rightarrow F=M*A$
$Mass\rightarrow M= \frac{\displaystyle F }{\displaystyle A}$
$Mass\rightarrow M= \frac{\displaystyle F }{\displaystyle A}$
$Acceleration \rightarrow A= \frac{\displaystyle F }{\displaystyle M}$
$Acceleration \rightarrow A= \frac{\displaystyle F }{\displaystyle M}$
Momentum
$Momentum\rightarrow Momentum=Mass*Velocity$
$Momentum\rightarrow Momentum=Mass*Velocity$
$Momentum \rightarrow P=M*V$
$Momentum \rightarrow P=M*V$
$Mass\rightarrow M= \frac{\displaystyle P }{\displaystyle V}$
$Mass\rightarrow M= \frac{\displaystyle P }{\displaystyle V}$
$Velocity \rightarrow V= \frac{\displaystyle P }{\displaystyle M}$
$Acceleration \rightarrow A= \frac{\displaystyle F }{\displaystyle M}$
2 Dimensional Motion
$Horizontal\hspace{.1cm}Distance \rightarrow X=V_x*T$
$Horizontal\hspace{.1cm}Distance \rightarrow X=V_x*T$
$Horizontal\hspace{.1cm}Velocity \rightarrow V_{Xf}=V_{xi}$
$Horizontal\hspace{.1cm}Velocity \rightarrow V_{Xf}=V_{xi}$
$Vertical\hspace{.1cm}Distance \rightarrow Y=V_{yo}T-\frac12GT^2$
$Vertical\hspace{.1cm}Distance \rightarrow Y=V_{yo}T-\frac12GT^2$
$Vertical\hspace{.1cm}Velocity \rightarrow V_{Yf}=V_{Yi}-G*T$
$Vertical\hspace{.1cm}Velocity \rightarrow V_{Yf}=V_{Yi}-G*T$
$Time\hspace{.1cm}of\hspace{.1cm}Flight \rightarrow T=\frac{\displaystyle 2V_isin\theta}{\displaystyle G}$
$Time\hspace{.1cm}of\hspace{.1cm}Flight \rightarrow T=\frac{\displaystyle 2V_isin\theta}{\displaystyle G}$
$Maximum\hspace{.1cm}Height\hspace{.1cm}Reached \rightarrow H=\frac{\displaystyle V_i^2sin^2\theta}{\displaystyle 2G}$
$Maximum\hspace{.1cm}Height\hspace{.1cm}Reached \rightarrow H=\frac{\displaystyle V_i^2sin^2\theta}{\displaystyle 2G}$
$Horizontal\hspace{.1cm}Range \rightarrow R=\frac{\displaystyle V_i^2sin2\theta}{\displaystyle G}$
$Horizontal\hspace{.1cm}Range \rightarrow R=\frac{\displaystyle V_i^2sin2\theta}{\displaystyle G}$
Conservation of Momentum
$Conservation\hspace{.1cm}Of\hspace{.1cm}Momentum\hspace{.1cm}(Elastic) \rightarrow m_1u_1+m_2u_2=m_1v_1+m_2v_2$
$Conservation\hspace{.1cm}Of\hspace{.1cm}Momentum\hspace{.1cm}(Elastic) \rightarrow m_1u_1+m_2u_2=m_1v_1+m_2v_2$
$Conservation\hspace{.1cm}Of\hspace{.1cm}Momentum\hspace{.1cm}(Inelastic) \rightarrow m_1u_1+m_2u_2=(m_1+m_2)*V_f$
$Conservation\hspace{.1cm}Of\hspace{.1cm}Momentum\hspace{.1cm}(Inelastic) \rightarrow m_1u_1+m_2u_2=(m_1+m_2)*V_f$
Work and Power
$Work \rightarrow Work=Force*Distance$
$Work \rightarrow Work=Force*Distance$
$Work \rightarrow W=F*D$
$Force \rightarrow F=M*$
$Force\rightarrow F= \frac{\displaystyle W }{\displaystyle D}$
$Force \rightarrow F= \frac{\displaystyle W }{\displaystyle D}$
$Distance \rightarrow D= \frac{\displaystyle W }{\displaystyle F}$
$Distance\rightarrow D= \frac{\displaystyle W }{\displaystyle F}$
$Power\rightarrow P(W)=\frac{\displaystyle Work(J)}{\displaystyle Time(s)}$
$Power\rightarrow P(W)=\frac{\displaystyle Work(J)}{\displaystyle Time(s)}$
$Power\rightarrow P=\frac{\displaystyle W}{\displaystyle T}$
$Power\rightarrow P=\frac{\displaystyle W}{\displaystyle T}$
$Time\rightarrow T=\frac{\displaystyle W}{\displaystyle P}$
$Time\rightarrow T=\frac{\displaystyle W}{\displaystyle P}$
$Work\rightarrow W=P*T$
$Work \rightarrow W=P*T$
Energy
$Gravitational\hspace{.1cm}Potential\hspace{.1cm}Energy \rightarrow GPE=mass*Gravity*height$
$Gravitational\hspace{.1cm}Potential\hspace{.1cm}Energy \rightarrow GPE=mass*Gravity*height$
$Kinetic\hspace{.1cm}Energy \rightarrow KE = \frac{\displaystyle 1}{\displaystyle 2}MV^2$
$Kinetic\hspace{.1cm}Energy \rightarrow KE = \frac{\displaystyle 1}{\displaystyle 2}MV^2$
Ohm's Law and Electrical Power
$Ohm's\hspace{.1cm}Law \rightarrow Current=\frac{\displaystyle Voltage}{\displaystyle Resistance}$
$Ohm's Law \rightarrow Current=\frac{\displaystyle Voltage}{\displaystyle Resistance}$
$Current \rightarrow I=\frac{\displaystyle V}{\displaystyle R}$
$Current\rightarrow I=\frac{\displaystyle V}{\displaystyle R}$
$Resistance \rightarrow R=\frac{\displaystyle V}{\displaystyle I}$
$Resistance \rightarrow R=\frac{\displaystyle V}{\displaystyle I}$
$Voltage\rightarrow V=I*R$
$Voltage\rightarrow V=I*R$
$Power \rightarrow Power=Current*Voltage$
$Power \rightarrow Power=Current*Voltage$
$Power \rightarrow P=I*V$
$Power \rightarrow P=I*V$
$Current\rightarrow I=\frac{\displaystyle P}{\displaystyle V}$
$Current\rightarrow I=\frac{\displaystyle P}{\displaystyle V}$
$Voltage \rightarrow V=\frac{\displaystyle P}{\displaystyle I}$
$Voltage \rightarrow V=\frac{\displaystyle P}{\displaystyle I}$
$Resistance\hspace{.1cm}in\hspace{.1cm}Series\rightarrow R_T=R_1+R_2+R_3...$
$Resistance\hspace{.1cm}in\hspace{.1cm}Series\rightarrow R_T=R_1+R_2+R_3...$
$Resistance\hspace{.1cm}in\hspace{.1cm}Parallel \rightarrow \frac{\displaystyle 1}{\displaystyle R_T}=\frac{\displaystyle 1}{\displaystyle R_1}+\frac{\displaystyle 1}{\displaystyle R_2}+\frac{\displaystyle 1}{\displaystyle R_3}...$
$Resistance\hspace{.1cm}in\hspace{.1cm}Parallel \rightarrow \frac{\displaystyle 1}{\displaystyle R_T}=\frac{\displaystyle 1}{\displaystyle R_1}+\frac{\displaystyle 1}{\displaystyle R_2}+\frac{\displaystyle 1}{\displaystyle R_3}...$
Waves
$Frequency \rightarrow Frequency = \frac{\displaystyle 1}{\displaystyle period}$
$Frequency \rightarrow F = \frac{\displaystyle 1}{\displaystyle period}$
$Frequency \rightarrow F = \frac{\displaystyle 1}{\displaystyle T}$
$Frequency \rightarrow F = \frac{\displaystyle 1}{\displaystyle T}$
$Period \rightarrow Period = \frac{\displaystyle 1}{\displaystyle Frequency}$
$Period \rightarrow Period = \frac{\displaystyle 1}{\displaystyle Frequency}$
$Period \rightarrow T= \frac{\displaystyle 1}{\displaystyle F}$
$Period \rightarrow T= \frac{\displaystyle 1}{\displaystyle F}$