Question

A boat crosses a 30 meter wide river, with uniform water current Vc = 2 m/s. The boat is pointed directly perpendicular to the current with a speed of Vb = 3 m/s over the water

observing from the bank,

how long does it take the boat to cross the river in seconds?

how far down stream was the boat carried in meters?

what was total distance of boat traveled in meters?

what was boats total velocity in m/s?

if the boats perpendicular speed was increased to 5 m/s what would happen to its total travel distance?

Answer #1

An athlete crosses a 23 m wide river by swimming perpendicular
to the water current at a speed of 0.35 m/s relative to the water.
He reaches the opposite side at a distance 45 m downstream from his
starting point.
Randomized Variables
w = 23 m
d = 45 m
vs = 0.35 m/s
What is the speed of the swimmer with respect to a friend at
rest on the ground in m/s?

A 370 -m-wide river has a uniform flow speed of 1.1 m/s through
a jungle and toward the east. An explorer wishes to leave a small
clearing on the south bank and cross the river in a powerboat that
moves at a constant speed of 7.6 m/s with respect to the water.
There is a clearing on the north bank 18 m upstream from a point
directly opposite the clearing on the south bank. (a) At what
angle, measured relative...

A 290-m-wide river flows due east at a uniform speed of 1.3m/s.
A boat with a speed of 8.9m/s relative to the water leaves the
south bank pointed in a direction 34o west of north. What is the
(a) magnitude and (b) direction of the boat's velocity relative to
the ground? Give the direction as the angle of the velocity from
due north, positive if to the east and negative if to the west. (c)
How long does it take...

A boat, whose speed in still water is 2.40 m/s , must cross a
285-m-wide river and arrive at a point 118 m upstream from where it
starts (Figure 1). To do so, the pilot must head the boat at a 45∘
upstream angle.
What is the speed of the river's current?

A swimmer heading directly across a river that is 200 m wide
reaches the opposite bank in 6 min 40 s. During this swim, she is
swept downstream 480 m. How fast can she swim in still water?what
is the speed of the boat relative to an observer standing on the
shore as it crosses the river?What is the speed of the current?

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...

A boat carries a speed of 4 km / h in calm water. It crosses a
river whose current has a speed of 3 km / hour.
a) What is the direction and magnitude of the resultant if the
river is 15 m wide
b) at which point on the opposite side does it
stop?

QUESTION 1
A boat is able to move over still water at 19 m/s. If the boat
makes a round trip to a town which is 3.4 km upstream and back to
the starting point and the river flows at 9.4 m/s, find the time
required to complete the round trip.
The time of the round trip with the river current, t1
=
If the water is still (meaning there is no current) then the
time of the round trip...

A small, battery-powered, electric motorboat that can travel at
a speed of 2.05 m/s in still water is operating in a river with a
flow speed of 1.25 m/s. For each of the following two cases,
determine the requested information for a river that is 244 m
wide.
(a) Case 1: when the boat is pointed straight across the river,
determine the speed vbl of the boat
as viewed by someone on land, the distance d the boat is
swept downstream...

You ride in a boat on a river flowing at 1.8 m/sm/s (in the
negative y direction). Suppose you would like the boat to
move directly across the river (in the positive x
direction) with a speed of 5.3 m/sm/s.
Express your answer to two significant figures and include
appropriate units.
A.) What is the corresponding speed of the boat's velocity
relative to the water?
B.) What is the corresponding direction of the boat's velocity
relative to the water (i.e....

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