Question

Two sailing boats sail away from each other on a lake. Sailing boat A sails directly North at 3km/h and sailing boat B sails N.53,13°.E at 5km/h .calculate:

1. The velocity of sailing boat A relative to the velocity of sailing B.

Answer 1

All angles are measured CW from +y-axis.

1. V = 3[0o]+5[53.1+180]
V = (3*sin0+5*sin233.1)+(3*cos0+5*cos233.1)i
V = -4+0i = -4 km/h = 4km/h less than B.