Questions: Which of the following have the same direction as the average velocity? Initial position minus final position Displacement Final position minus initial position

Solution Steps

Average velocity is defined as the displacement divided by the time interval. Mathematically, it is given by: \[ \vec{v}_{\text{avg}} = \frac{\vec{d}}{\Delta t} \] where \(\vec{d}\) is the displacement vector and \(\Delta t\) is the time interval.

Displacement is the vector that points from the initial position to the final position. It is given by: \[ \vec{d} = \vec{r}_{\text{final}} - \vec{r}_{\text{initial}} \]

• Initial position minus final position: This vector points from the final position back to the initial position, which is the opposite direction of the displacement.
• Displacement: This vector points from the initial position to the final position, which is the same direction as the average velocity.
• Final position minus initial position: This vector is the displacement vector, which points from the initial position to the final position.

Final Answer