Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 75 m. He arrives 40.0 m downstream from the point directly across the river from his starting point.(a) What is the speed of the current in the river? (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point?

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Asked Sep 16, 2019
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 Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 75 m. He arrives 40.0 m downstream from the point directly across the river from his starting point.
(a) What is the speed of the current in the river? (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point?

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Step 1
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Civen: the river Downstream displaumut 0swîmmer in still water = Width 75 m 4o m 2 m/s

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Step 2

(a) Calculating the velocity of the current of the river:

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40m- 75m V acros iver Aiweky Since Swimmer Heads dir 2m/s driftzd (where in the downstream, As the swimmer is velocity o curent) u is the Time taken witho Swimmer to trauel river dy 75 m 3-75 Seconds 2mys Same ti'me will he take to travel the Hori z2ontal distance, 4om 40 = 'as caluulated abone) 3-75 t0 67 m/s 40 m 3-75s

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Step 3

(b) Calculating the angle at which the s...

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Le' cAsume, he should huad at an with the ine pPndiular to the ahore Vcoso 15m Vsino Pint divectly opronte 'Hu'e final vilocity murt In o7 den to arriue at a to his stanting point only vertičal (per pendicular to shon lence, v o vsino - frorm diag am, CUm Sine lo 67 m/s Sub stitute v- 2m/s, u Sina 01 8 7 4 10.8

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