Questions: Select all that apply Select all of the following that have the same direction as the average acceleration. Change in velocity Initial velocity minus final velocity Final velocity minus initial velocity

Select all that apply
Select all of the following that have the same direction as the average acceleration.
Change in velocity
Initial velocity minus final velocity
Final velocity minus initial velocity

Transcript text: Select all that apply Select all of the following that have the same direction as the average acceleration. Change in velocity Initial velocity minus final velocity Final velocity minus initial velocity Need help? Revlew these concept resources.

Solution

Solution Steps

Step 1: Understanding Average Acceleration

Average acceleration is defined as the change in velocity divided by the time over which the change occurs. Mathematically, it is given by: \[ \vec{a}_{\text{avg}} = \frac{\Delta \vec{v}}{\Delta t} \] where \(\Delta \vec{v}\) is the change in velocity.

Step 2: Identifying the Change in Velocity

The change in velocity \(\Delta \vec{v}\) is calculated as: \[ \Delta \vec{v} = \vec{v}_{\text{final}} - \vec{v}_{\text{initial}} \] This vector represents the direction and magnitude of the change in velocity.

Step 3: Analyzing Each Option

Change in velocity: This is \(\Delta \vec{v}\), which directly determines the direction of the average acceleration.
Initial velocity minus final velocity: This is \(\vec{v}_{\text{initial}} - \vec{v}_{\text{final}}\), which is the negative of \(\Delta \vec{v}\). Therefore, it has the opposite direction to the average acceleration.
Final velocity minus initial velocity: This is \(\vec{v}_{\text{final}} - \vec{v}_{\text{initial}}\), which is exactly \(\Delta \vec{v}\) and thus has the same direction as the average acceleration.