1. A container ship sets out from Toronto, Ontario, intending to head due north at 3.40 m/s relative to the water. However, the local ocean current is moving at 1.85m/s in a direction 36.0 north of east, and it changes the ship's intended motion.

*Diagram required.

2. In what direction would the ship have to travel in order to have a resultant velocity straight north relative to the earth, assuming the speed relative to the water remains 3.40 m/s? Give the angle in degrees.

a) What would the ship's speed be, relative to the earth, in metres per second?

b) A team of junior Olympic sailors have set their Laser sailboat on a course of 60.5 west of north, at 4.77m/s. They encounter a current, which is traveling from 31.5 south of west, at 1.90m/s. What is the resultant velocity of the sailboat?

*Diagram required.