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

Explanation:

Can you give me the material hint Please..

Answer 2

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