Question

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. from the positive *x*
direction)?

Answer #1

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...

You have a small boat which travels through water at a speed of
6.0 m/s. You take it out on a section of a local river where the
water flows from north to south at a speed of 4.0 m/s.
(a) First, you head south (i.e. downstream) in your boat. Draw a
vector which represents the velocity of the boat relative to the
water, and a vector that represents the velocity of the water
relative to the shore. Then add...

A boat is to cross a river that is flowing from west to east
with a rate of 6 m/s. The boat has a speed through the water of 15
m/s. At what angle does the boat have to be aimed toward the west
to go straight north across the river?

Answer the following question"
1A: The boat in the figure is heading due north as it crosses a
wide river with a velocity of 11.5 km/h relative to the water. The
river has a uniform velocity of 4.90 km/h due east. Determine the
velocity of the boat with respect to an observer on the riverbank.
find the
magnitude
direction
1B: Suppose the river is flowing east at 2.60 m/s and the boat
is traveling south at 4.40 m/s with respect...

A boat is heading straight across a river at 3.62 m/s. The river
is 27.0 m across and has a downstream velocity of 2.01 m/s.
a.) what is the resultant velocity of the boat?
b.) how far downstream does the boat end up?
c.) How long does the trip take?

Mary needs to row her boat across a 120 m-wide river that is
flowing to the east at a speed of 1.0 m/s. Mary can row with a
speed of 2.1 m/s.
a) If Mary points her boat due north, how far from her intended
landing spot will she be when she reaches the opposite shore?
b)What is her speed with respect to the shore?

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 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...

A passenger on a boat moving at 1.90 m/s on a still lake walks
up a flight of stairs at a speed of 0.60 m/s (Figure 1). The stairs
are angled at 45∘ pointing in the direction of motion as shown.
What is the magnitude of the velocity of the passenger relative to
the water? What is the direction of the velocity of the passenger
relative to the water (counterclockwise from the positive x
axis)?

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...

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