Crossing the Fraser
A boat crosses the Fraser River at a point in which the width w = 215 m, and the current flows with a uniform speed of of 2.50 m/s . The captain of the boat maintains a bearing perpendicular to the river and a throttle setting to give a constant speed of 3.50 m/s with respect to the water.
a) Write the vector equation for the velocity of the boat relative
to shore.

(1 mark)

b) Draw the vector diagram (use a ruler!) that accurately
represents the vector equation. Clearly label the vectors!

(2 marks)

c) What is the velocity of the boat relative to stationary observer
on shore?

(2 marks)

d) How long does it take for the boat to reach the opposite shore?

(2 marks)

e) How far downstream is the boat when it reaches the opposite shore?

(2 marks)

f) At what angle to the shore would the captain have to point his boat
in order to arrive at a point directly across the river from the launch
point?

(3 marks)

g) How long does it now take for the boat to reach the opposite shore?

(2 marks)

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