Average Velocity and Position Equations

Average Velocity Definition and Position

• Average velocity $\bar{v}$ is defined as: $\bar{v} = \frac{x - x_0}{t}$

• Solving for position $x$ gives: $x = x_0 + \bar{v}t$

Average Velocity Under Constant Acceleration

• Average velocity $\bar{v}$ is midway between initial velocity $v_0$ (or $v_i$) and final velocity $v$ (or $v_f$): $\bar{v} = \frac{v_0 + v}{2}$

• This relationship applies only if acceleration is constant.