Question

Bill and Jill both average swimming speeds of 3.0 m/s, in a pool (that has no current). Bill and Jill go down to the river for a swim, the river has a current of 1.0 m/s straight EAST and is 1.50 x 102 m in width. They are standing on the SOUTH shore. a.Bill, not thinking about the current, jumps in and swims straight across to the North shore. Of course the current affects his resultant velocity and he doesn’t end up directly North of his starting position. Fi nd his resultant velocity.b.Jill, thinking about the current, jumps in and points herself in a direction that WILL allow her to end up directly North of her starting position. Find the direction that Jill pointed herself (i.e. where she would go if there was no current)c.Find Jill’s resultant velocity in part b.d.Find how long (how much time) it took BOTH Bill and Jill to cross the river.e.How far apart were Bill and Jill when they reached the North bank?

Answer #1

Thomas and Ashley are swimming in a river which is 15 m wide.
Both swim with a speed u = 1.2 m/s relative to the water, which is
flowing downstream at a speed v = 0.25 m/s. They both leave a point
on one bank at the same time. Thomas swims directly upstream a
distance 15 m, then turns back and swims downstream to his starting
point. Ashley points herself so that, taking account of the
current, she can swim...

A swimmer heads directly across a river, swimming at her maximum
speed of 1.40 m/s relative to the water. She arrives at a point
44.0 m downstream from the point directly across the river, 77.0 m
wide. What is the speed of the river current?
Tries 0/8
What is the swimmer's speed relative to the shore?
Tries 0/8
In what direction (as an angle relative to a direct line across
the river) should the swimmer aim instead, so that she...

Swimming at 1.00 m/s relative to still water, a swimmer heads
directly across a river of width 95 m. He arrives 35.0 m downstream
from the point directly across the river from his starting
point.
(a) What is the speed of the current in the river?m/s
(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? °

A ferryboat, whose
speed in still water is 4.00 m/s, must cross a river whose current
is 3.00 m/s. The river runs from West to East and the boat is
pointed North.
a) If the boat does
not compensate for the flow of the river water, and allows itself
to be pushed off course, what would be the new velocity of the
boat? In answering this question, draw a vector diagram with the
appropriate labels for the vectors, and state...

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