Question

Calculate the displacement in km a cyclist would travel in 5.00 h at an average of 12.0 km/h to the southwest.

Answer 1

60 km to southwest

Step-by-step explanation:

The formula of displacement:

`\displaystyle{ \vec s = \vec v t}`

We know that the magnitude of velocity is 12 km/h and the time it takes is 5 hours. Thus, substitute in the formula:

`\displaystyle{ \vec s = 12 \ \text{km/h} \: \cdot \: 5 \ \text{h}} \\ \\ \displaystyle{ \vec s = 60 \ \text{km}}`

Since the equation we just solved is just its magnitude. We know that the direction of velocity is southwest. Therefore, the displacement would be 60 km to southwest