Question

A stationary radar operator determines that a ship is 16 km south of him. An hour later the same ship is 16 km southeast. If the ship moved at constant speed and always in the same direction, what was its velocity during this time? (Hint: Take the origin to be the location of the radar.)

( ? km/h)i + ( ? km/h) j

Answer 1

V = (11.314 i + 4.686 j ) km/h

Step-by-step explanation:

The velocity is given by:

`V = (\Delta r)/(\Delta t)=(rf - ri)/(1h)`

Where

rf = 16 km <-45° = ( 11.314 i - 11.314 j) km

ri = 16 km < -90° = (-16 j) km

Replacing these values in the original velocity formula:

V = (11.314 i + 4.686 j ) km/h