A bird accelerates from 15 m/s,north to 25 m/s,south in 8 seconds.

A)What is the bird's acceleration vector?
B) How far and in what direction does the bird travel in this interval?
C) What is the bird's average velocity?

I will be happy to critique your thinking.

To answer these questions, we need to use the formulas of acceleration, displacement, and average velocity.

A) Acceleration vector - Acceleration is the change in velocity divided by the time taken. In this case, the initial velocity is 15 m/s north, and the final velocity is 25 m/s south. We need to find the change in velocity and divide it by the time taken.

Change in velocity = Final velocity - Initial velocity
= 25 m/s south - 15 m/s north
= -15 m/s

Acceleration vector = Change in velocity / Time taken
= -15 m/s / 8 s
= -1.875 m/s² south

Therefore, the bird's acceleration vector is -1.875 m/s² south.

B) Displacement - Displacement is the change in position. To find the distance and direction traveled, we need to calculate the net displacement.

Net displacement = Final position - Initial position

Since the bird is moving in opposite directions (north and south), the net displacement will have a direction and magnitude.

The magnitude of the net displacement can be found by subtracting the magnitudes of the initial and final velocities.

Magnitude of net displacement = |Final velocity| - |Initial velocity|
= |25 m/s| - |15 m/s|
= 25 m/s - 15 m/s
= 10 m/s

The direction of the net displacement will depend on the relationship between the initial and final velocities. In this case, since the final velocity is in the south direction, we can infer that the net displacement is also south.

Therefore, the bird travels a distance of 10 meters in the south direction in this interval.

C) Average Velocity - Average velocity is the total displacement divided by the time taken.

Average velocity = Total displacement / Time taken

In this case, the total displacement is the magnitude of the net displacement, which we found to be 10 meters. The time taken is given as 8 seconds.

Average velocity = 10 m / 8 s
= 1.25 m/s south

Therefore, the bird's average velocity is 1.25 m/s south.