**Boats on a River**

Boats A and B leave the west side of a river at the same time.
Boat A has a speed of 5.0 m/s **with
respect** **to the shore **and
a course 30^{0} north
of east. Boat B has a speed of 2.5 m/s **with
respect to the water **and a heading
55^{0} south
of east. The river flows at 1.5 m/s due south and is 200 m wide.

a) What is the **velocity
**of Boat A relative to the water?
(4 marks)

b) How many meters upstream is Boat A when it reaches the east side of the river? (3 marks)

c) What is the **velocity
**of Boat B relative to the shore? (5
marks)

d) How many seconds does it take for Boat B to cross the river? (3 marks)

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