Physics 12 - Quiz #2

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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