Referring to Figure 2-6, when starting from the Cafe and traveling to the Art Gallery and then to the Bakery, 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:
The order is from point 1 to point 3 in the north direction
The distances are:
The velocity is given by:
[tex] v = \frac{d_{t}}{t} [/tex] (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 depends on the direction of motion.
Displacement from the Cafe to the Art Gallery
[tex] d_{1} = -4.0 km - 2.5 km = -6.5 km [/tex]
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.
Displacement from the Art Gallery to Bakery
[tex] d_{t} = d_{1} + d_{2} = -6.5 km + 2.5 km = -4.0 km [/tex]
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):
[tex] v = \frac{d_{t}}{t} = \frac{4.0 km \: south}{2 h} = 2 km/h \: south [/tex]
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: https://brainly.com/question/14612656?referrer=searchResults
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