River Problems.

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Presentation transcript:

River Problems

Swimming upstream or downstream S: Swimmer W: Water G: Ground 0.5 m/s VSG= 2 – 0.5 = 1.5 m/s VSG= 2 + 0.5 = 2.5 m/s Swimming upstream or downstream (assume that the swimmer can swim at 2 m/s in still water)

(and “WANTING” to go straight across) D’ OH! Crossing the River (and “WANTING” to go straight across)

(assume that the swimmer can swim at 4 m/s in still water) 2.65 m/s 4 m/s 5 m/s The water slows him down … BUT, he goes straight across  The water speeds the swimmer up …. BUT, he lands downstream  Crossing the River (assume that the swimmer can swim at 4 m/s in still water)

(assume that the swimmer can swim at 4 m/s in still water) USE 60 = 4t to find the time needed to cross the river.  15 sec USE d = 3(15) to find the distance the man travels downstream. 45 m 3 m/s 4 m/s 5 m/s 60 m 3 m/s Crossing the River (assume that the swimmer can swim at 4 m/s in still water)

(assume that the swimmer can swim at 4 m/s in still water) S: Swimmer W: Water G: Ground VSW = 4 m/s [A] VWG = 3 m/s [DS] VSG = 5 m/s [DS 53o A] 3 m/s 4 m/s 5 m/s A US DS 53o Crossing the River (assume that the swimmer can swim at 4 m/s in still water)

(assume that the swimmer can swim at 4 m/s in still water) USE 60 = 2.65t to find the time needed to cross the river. t= 22.64 sec (slow, but straight) 2.65 m/s 4 m/s 60 m Crossing the River (assume that the swimmer can swim at 4 m/s in still water)

(assume that the swimmer can swim at 4 m/s in still water) S: Swimmer W: Water G: Ground VSW = 4 m/s [US 41.5o A] VWG = 3 m/s [DS] VSG = 2.65 m/s [A] A US DS 2.65 m/s 4 m/s 41.5o Crossing the River (assume that the swimmer can swim at 4 m/s in still water)