Physics

Problem

A ship departs harbour

H

and sails along the following three legs: (i)

40

nautical miles on a bearing of

060^{\circ}

, (ii)

25

nautical miles on a bearing of

310^{\circ}

, (iii)

30

nautical miles due south. Take

1

nautical mile

=1.852\text{ km}

and let east be

+x

, north be

+y

. Answer the questions below: a. (i) Convert each leg into kilometres and express it as a displacement vector in component form. b. (ii) Determine the ship’s resultant displacement vector from

H

in kilometres. c. (iii) Find the magnitude of this resultant displacement and give its bearing measured clockwise from north.

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