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River Problems. S: Swimmer W: Water G: Ground. 0.5 m /s. V SG = 2 – 0.5 = 1.5 m /s. V SG = 2 + 0.5 = 2.5 m /s. Swimming upstream or downstream (assume that the swimmer can swim at 2 m /s in still water). D’ OH !. Crossing the River (and “WANTING” to go straight across). 3 m /s.
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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)
D’ OH! Crossing the River (and “WANTING” to go straight across)
3 m/s 3 m/s 4 m/s 3 m/s 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)
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)
3 m/s 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)
3 m/s 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)
3 m/s 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] 2.65 m/s 4 m/s A US DS 41.5o Crossing the River (assume that the swimmer can swim at 4 m/s in still water)