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A swimmer is capable of swimming 0.60 m/s in still water.

(a) If she aims her body directly across a 75 m-wide river whose current is 0.55 m/s, how far downstream (from a point opposite her starting point) will she land in (m)?

(b) How long will it take her to reach the other side in (s)?

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from force triangle,

resultant speed

= sq root [ 0.6^2 + 0.55^2]

= 0.814m/s

x / 75 = 0.55 /0.6

from a point opposite her starting point will she land.

actual distance travelled

= sq root [ 75^2 + 68.75^2]

= 101.74 m

time taken

= 101.74 / 0.814

= 124.99 s

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