Referring to Figure 2-6, when starting from the <u>Cafe</u> and traveling <u>to the Art Gallery</u> and then <u>to the Bakery</u>, in 2 hours, the velocity is 2 km/h in the south direction. The correct option is D.
In Figure 2-6, we have the following:
<u>The order is from point 1 to point 3 in the </u><u>north direction</u>
<u>The </u><u>distances </u><u>are</u>:
- Distance from Art Gallery to Bakery = 2.5 km - north
- Distance from Bakery to Cafe = 4.0 km - north
The velocity is given by:
(1)
Where:
d: is the total displacement
t: is the time = 2 h
To find the displacement, we will take the north direction as the positive x-direction and the south as the negative x-direction. We need to remember that displacement is a vector that <em>depends on the direction of motion</em>.
<u>Displacement from the Cafe to the Art Gallery</u>
Since the distances of Figure2-6 are in the north direction and we are going in the opposite (south), the negative sign means that the first displacement is in the south direction.
<u>Displacement from the Art Gallery to Bakery</u>
The minus sign in this final displacement means that we are going in the south direction (the north direction is the positive x-direction).
Hence, the velocity is (eq 1):
We need to remember that the above minus sign refers to a direction of motion (south).
Therefore, the velocity is 2 km/h in the south direction. The correct option is D.
You can find more about displacement here: brainly.com/question/14612656?referrer=searchResults
I hope it helps you!