Aboat travels at 15 m/s in a direction 45° east of north. the boat then turns and travels at 18 m/s in a direction 5° north of east.
what is the magnitude of the boat’s resultant velocity? round your answer to the nearest whole number.

m/s
what is the direction of the boat’s resultant velocity? round your answer to the nearest whole degree.

° north of east

1) Magnitude

Let's take north as positive y-direction and east as positive x-direction. Then we have to resolve both velocities into their respective components:

So, the components of the resultant velocity are

east

north

So, the magnitude of the resultant velocity is

2) Direction

the direction of the boat's velocity is

north of east

b.

explanation:

10.0

where are the vectors ?