Question

write the equation that relates final velocity and average acceleration below. explain what each variable means. vf = + ā

Explanation:

Step1: Recall the kinematic - equation

The equation that relates final velocity ($v_f$), initial velocity ($v_i$), average acceleration ($\overline{a}$), and time ($t$) is $v_f=v_i + \overline{a}t$.

Step2: Define the variables

• $v_f$: Final velocity of the object, which is the velocity at the end of the time - interval considered. It has units of length per time (e.g., m/s).
• $v_i$: Initial velocity of the object, which is the velocity at the start of the time - interval considered. It has units of length per time (e.g., m/s).
• $\overline{a}$: Average acceleration of the object over the time - interval. It is the rate of change of velocity and has units of length per time squared (e.g., m/s²).
• $t$: Time interval during which the acceleration occurs. It has units of time (e.g., s).

Answer:

The equation is $v_f = v_i+\overline{a}t$, where $v_f$ is final velocity, $v_i$ is initial velocity, $\overline{a}$ is average acceleration, and $t$ is time.