A 400.0-m-wide river flows from west to east at 30.0 m/min. Yourboat moves at 100.0 m/min relative to the water no matter whichdirection you point it. To cross this river, you start from a dockat point A on the south bank. There is a boat landingdirectly opposite at point B on the north bank, and alsoone at point C , 75.0 m downstream from B (thefigure (Figure 1)).
(a) Where on the north shore will you land if you point yourboat perpendicular to the water current?
(b) What distance will you have traveled, if you point your boatperpendicular to the water current?
(c) If you initially aim your boat directly toward pointC 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 yourboat?
(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 observerstanding on the river bank?
