Question

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)?

Answer #1

the horizontal speed is

the vertical speed is

the magnitude of the velocity of the passenger relative to the water is

the direction of the velocity of the passenger relative to the water is

counterclockwise from the positive x axis

A passenger on a moving train walks at a speed of 1.50 m/s due
north relative to the train. The passenger's speed with respect to
the ground is 4.5 m/s at an angle of 31.0°west of north. What are
the magnitude and direction of the velocity of the train relative
to the ground?
magnitude
direction

A passenger walks from one side of a ferry to the other as it
approaches a dock .Passenger's velocity is 1.45 m/sm/s due north
relative to the ferry, and 4.40 m/s at an angle of 30.0 ∘ west of
north relative to the water.
part a) What is the magnitude of the ferry's velocity relative
to the water?
part b) What is the direction of the ferry's velocity relative
to the water?

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 passenger rushing to catch a plane at the airport walks on a
moving sidewalk at a speed of 3.0 km/h relative to the sidewalk in
the direction that the sidewalk is moving. The sidewalk is 115 m
long and moves with a steady velocity of 1.3 km/h. How long (in s)
does it take for the passenger to get from one end of the sidewalk
to the other, that i

A passenger rushing to catch a plane at the airport walks on a
moving sidewalk at a speed of 3.5 km/h relative to the sidewalk in
the direction that the sidewalk is moving. The sidewalk is 105 m
long and moves with a steady velocity of 1.9 km/h.
How much time does the passenger save by taking the moving
sidewalk instead of just walking beside it?
Through what distance does the passenger walk relative to the
moving sidewalk?
If the...

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...

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, 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 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 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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