Question

A swimmer is trying to swim across a river. The river is 100 m wide. 50 m down the river from his starting point, a dangerous waterfall is threatening to drown any unsuspecting swimmers. The swimmer can swim at a speed of 1 m/s relative to the water (we’ll call this vswimmer). The current pushes him towards the waterfall at a speed vwater (see arrows on picture). Part 1 (1 point) The swimmer starts out aiming himself straight for the other shore. How long will it take him to reach the shore? Part 2 (1 point) If he aims straight for the other shore, how fast can the current (vwater) be, if he is to survive the swim? Part 3 (1 point) As viewed from the shore, what is the total speed of the swimmer? (Hint: From the shore, his path will look like a diagonal line. You probably know from math class how to find the hypotenuse if you know the two catheters of a right-angled triangle.) Part 4 (2 points) (challenging!) The current in the river turns out to be 0.8 m/s, too strong for the swimmer to make the other shore if just aiming straight for the opposite shore. The swimmer changes strategy and decides to swim at an angle, so that part of his efforts cancels the current. As a result, he moves straight across the river towards the other shore, as viewed from the shore (see drawing). How long will it now take him to reach the opposite shore? (Hint: vswimmer is still 1 m/s)

Answer 1

Answer:

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Answer 2

Answer:

hope it helps you friends