AP Physics: Kinematics Unit 1:1.3

These are the four main 1D Kinematic Equations. Also acceleration and velocity

$$\overrightarrow{\Delta x}=\frac12\left(v_{i}+v_{f}\right)\cdot\Delta t$$

Use when missing acceleration vector

$$\overrightarrow{v}_{f}=\overrightarrow{v}_{i}+\overrightarrow{a}\cdot\Delta t$$

Use when missing displacement

$$\overrightarrow{\Delta x}=\overrightarrow{v}_{i}\cdot\Delta t+\frac12\overrightarrow{a}\cdot\Delta t^2$$

Use when missing final velocity

$$\overrightarrow{v}_{f}^2=\overrightarrow{v}_{i}^2+2\overrightarrow{a}\cdot\overrightarrow{\Delta x}$$

Use when missing time

$$\overrightarrow{\Delta v}=\overrightarrow{\frac{\Delta x}{\Delta t}}$$

velocity

$$\overrightarrow{a}=\overrightarrow{\frac{\Delta v}{\Delta t}}$$