The water in a river flows uniformly at a constant speed of 2.99 m/s between par

Question

The water in a river flows uniformly at a constant speed of 2.99 m/s between parallel banks 76 m apart. You are to deliver a package directly across the river, but you can swim only at 1.48 m/s (a) If you choose to minimize the time you spend in the water, in what direction should you head? (b) How far downstream will you be carried? (c) If you choose to minimize the distance downstream that the river carries you, in what direction should you head? (d) How far downstream will you be carried? ofrom the direction of the stream o from the direction of the stream

Explanation / Answer

part A:

a.) To spend the least amount of time in the water, you should head directly toward the other bank.

perpendicualr from the bank . this gives the the shortest time in the water makes all of your speed used toward crossing the bank

part B Distance = V *t

76 = 1.48 * t

t = 51.35 s

rvier will carry to a distance of

d = 2.99 * 51.35

d = 154.53 m

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to minimize the distance, he shud travel at 135 deg

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part D:

time in river

76 = 1.48 *cos 45 * t

t = 72.63 s

then diwnward speed = 2.99 - 1.48 sin 45 = 1.93 m/s for 72.63 s

so

distance = 1.93 * 72.63 = 140.17 m
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