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A 400.0-m -wide river flows from west to east at 30.0 m/min. Your boat moves at 120 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C, 75.0 m downstream from B(figure 1)
a- Where on the north shore will you land if you point your boat perpendicular to the water current?
b- What distance will you have traveled?
c- If you initially aim your boat directly toward point C and do not change that bearing relative to the shore, where on the north shore will you land?
d- To reach point C at what bearing must you aim your boat?
e- How long will it take to cross the river?
f- What distance do you travel?
g- What is the speed of your boat as measured by an observer standing on the river bank?
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