Velocity and acceleration

Here are the definitions for velocity and acceleration:

• Velocity: Velocity is the rate at which an object changes its position. It is a vector quantity, meaning it has both magnitude (speed) and direction. The SI unit for velocity is meters per second ($\text{m/s}$). The average velocity ($\bar{v}$) is calculated as the change in displacement ($\Delta x$) divided by the change in time ($\Delta t$):

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

• Acceleration: Acceleration is the rate at which an object changes its velocity. It is also a vector quantity, indicating both the magnitude and direction of the change in velocity. The SI unit for acceleration is meters per second squared ($\text{m/s}^2$). The average acceleration ($\bar{a}$) is calculated as the change in velocity ($\Delta v$) divided by the change in time ($\Delta t$):

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