You wish to row straight across a 63 m wide river. You can row at a steady 1.3 m per seconds relative to the water, and the river flows at 0.57 meter per seconds.

a) what direction should you head?

B) how long will it take you to cross the river?
Transcribed Image Text:53. Let A = 177- a car have to round a 50-m-radius turn for its acceleration to be numerically equal to that of gravity? 41. Determine the acceleration of the Moon, which completes a A+B +C = 54. You're a pilot b the angle between the acceleration vector and the original direc- city from the same height. Which of the two ground first? ion 3.8 really two (or three) equations? onstant throughout its parabolic trajectory? projectile's trajectory where velocity and cular? 24. An object is moving with speed v when it's subject to an accel ation that leaves it moving at an angle 6 to its original directio val from noon to 25. An object is moving in the x-direction at 1.1 m/s when it under- roof while your friend gives another a wind blowing from the west at 65 km/h. If your plane's air- 0.52j m/s?. Find its velocity vector ation that leaves it moving at an angle 0 to its original direction your starting E to the air) is E nearly circular orbit of 384.4 Mm radius in 27.3 days. 42. Global Positioning System (GPS) satellites circle Earth at alti- tudes of approximately 20,000 km, where the gravitational accel- eration has 5.8% of its surface value. To the nearest hour, what''s pointing toward 3 and the y-axis toward noon. expression for head 11.5 w flight takes of motion, with twice its original speed. Find an wind veloci the orbital period of the GPS satellites? 43. Pilots of high-performance aircraft risk loss of consciousness if they undergo accelerations exceeding about 5g. For a military jet flying at 2470 km/h (about twice the speed of sound), what's the minimum radius for a turn that will keep the acceleration below 5g? 55. A particle tion of the object's motion. where c ar t>0 whe the y-dire 56. An objec object to be moving in one direction but goes an acceleration a = 0.52ĵ m/s². Find its velocity vec after 5.2 s. rith constant velocity on a level road ight up. When the ball returns, does you, or back at your hand? Explain. re legitimate mathematical equa- n/s; (b) v = 5 m/s; (c) a = dvldt; nitude 2 Example Variations it's mo 26. You're piloting a small plane on a route directly north, but there?. a wind blowing from the west at 65 km/h. If your plane's ain speed (i.e., its speed relative to the air) is 470 km/h, in what di rection should you head? Section 3.3 Relative Motion The following problems are based on two examples from the text. Each set of four problems is designed to help you make connections that enhance your understanding of physics and to build your confidence in solving problems that differ from ones you've seen before. The first problem in each set is essentially the example problem but with differ- ent numbers. The second problem presents the same scenario as the example but asks a different question. The third and fourth problen repeat this pattern but with entirely different scenarios. tween closer 57. You'r will 27. You wish to row straight across a 63-m-wide river. You can row. at a steady 1.3 m/s relative to the water, and the river flows at 0.57 m/s. (a) What direction should you head? (b) How long will it take you to cross the river? 28. A plane with airspeed 320 km/h flies perpendicularly across the jet stream, its nose pointed into the jet stream at 38° from the perpendicular direction of its flight. Find the speed of the jet gotia сес wha no 58. Ar th 5 km east. Find (a) the magni- 1 (b) its direction, expressed direction. s a semicircular path of ra- e it travels and (b) the mag- 44. Example 3.3: You're windsurfing at 6.28 m/s when a gust hi accelerating your sailboard at 0.714 m/s at 48.8° to your origi direction. If the gust lasts 5.42 s, what's the magnituof board's displacement during this time? 45. Example 3.3: You're windsurfing at 5.68 m/s when a gits celerating your sailboard at 62.5° to your original directi lasts 5.42 s, and the board's displacement during this time is 37.2 m. Find the magnitude of the board's acceleration during the gust. stream. 29. A flock of geese is attempting to migrate due south, but the wind is blowing from the west at 4.9 m/s. If the birds can fly at 7.6 m/s relative to the air, in which direction should they be headed? 59. he Mexico and California. It due north and travels an- Section 3.4 Constant Acceleration 46. Example 3.3: A hockey puck glides across the ice at 271 mle magnitude and direction 30. The position of an ohinat Samsung Quad Camera Shot with my Galaxy A71
Transcribed Image Text:n while moving northward? of fast would a car have to round a 50-m-radius turn for its acceleration to be numerically equal to that of gravity 41. Determine the acceleration of the Moon, which completes a val from noon to 6 PM 178-42) and B f while your friend gives another he same height. Which of the two pointing toward 3 and the y-axis toward 54 You're a pelot beginning a 1280 an of motion, with twice its original speed. Find the angle between the acceleration vector and the origineTon fo nearly circular orbit of 384.4 Mm radius in 27.3 days 42. Global Positioning System (GPS) satellites circle Earth at alti- your starting point Your plane to the air) is 846 km/h, and ab bead 115 west of south to fight takes 115 min, what wind velocity? 55 A particle's position where e andd are positi 1>0 when the partick st? it an -lly two (or three) equations? pughout its parabolic trajectory? s trajectory where velocity and tudes of approximately 20.000 km. where the gravitational accel- eration has 5.8% of its surface value. To the nearest hour, what's tion of the object's motion. 25. An object is moving in the x-direction at 1.1 m/s when is the orbital period of the GPS satellites? 43. Pilots of high-performance aircraft risk loss of consciousness if they undergo accelerations exceeding about 5g. For a mihtary jet flying at 2470 km/h (about twice the speed of sound), what's the minimum radius for a tum that will keep the acceleration below 5g? 0 52î m/s². Find its velocity vect goes an acceleration a after 5.2 s. e moving in one direction but %3D the y-direction. 56. An object moving at ant velocity on a level road Vhen the ball returns, does ck at your hand? Explain. ate mathematical equa- nitude 20 m/s that Section 3.3 Relative Motion Example Variations it's moving at 88 26. You're piloting a small plane on a route directly north, but 1. The following problems are based on two examples from the text. Each set of four problems is designed to help you make connections that enhance your understanding of physics and to build your confidence in solving problems that differ from ones you've seen before. The first problem in each set is essentially the example problem but with differ- ent numbers. The second problem presents the same scenario as the tween the initial closer to 0, to = 5 m/s; (c) a = dvldt; 57. You're design rection should you head? 27. You wish to row straight across a 63-m-wide river. You com will exit the E gotiating a c ceed 0.45g what's the example but asks a different question. The third and fourth problems repeat this pattern but with entirely different scenarios. not banke 58. An obje 28. A plane with airspeed 320 km/h flies perpendicularly jet stream, its nose pointed into the jet stream at 38° from the perpendicular direction of its flight. Find the speed of the jet it take you to cross the river? the end 44. Example 3.3: You're windsurfing at 6.28 m/s when a gust hits, accelerating your sailboard at 0.714 m/s at 48.8° to your original direction. If the gust lasts 5.42 s, what's the magnitude of the board's displacement during this time? 45. Example 3.3: You're windsurfing at 5.68 m/s when a gust hits, ac- celerating your sailboard at 62.5° to your original direction. The gust lasts 5.42 s, and the board's displacement during this time is 37.2 m. Find the magnitude of the board's acceleration during the gust. its vel Find (a) the magni- rection, expressed O000 ircular path of ra- much char stream. nit 29. A flock of geese is attempting to migrate due south, but the wind 59. T Samsung Quad Camera, from the west at 4.9 m/s. If the birds can fly at 7.6 m/s and (b) the mag- Shot with my Galaxy A71ve to the air, in which direction should they be headed? nd California. It Section 3.4 Constant Acceleration 46. Example 3.3: A hockey puck glides across the ice at 27.7 m/s, u otick giving it an ac-

Question

You wish to row straight across a 63 m wide river. You can row at a steady 1.3 m per seconds relative to the water, and the river flows at 0.57 meter per seconds.

a) what direction should you head?

B) how long will it take you to cross the river?

53. Let A = 177-
a car have to round a 50-m-radius turn for its
acceleration to be numerically equal to that of gravity?
41. Determine the acceleration of the Moon, which completes a
A+B +C =
54. You're a pilot b
the angle between the acceleration vector and the original direc-
city from the same height. Which of the two
ground first?
ion 3.8 really two (or three) equations?
onstant throughout its parabolic trajectory?
projectile's trajectory where velocity and
cular?
24. An object is moving with speed v when it's subject to an accel
ation that leaves it moving at an angle 6 to its original directio
val from noon to
25. An object is moving in the x-direction at 1.1 m/s when it under-
roof while your friend gives another
a wind blowing from the west at 65 km/h. If your plane's air-
0.52j m/s?. Find its velocity vector
ation that leaves it moving at an angle 0 to its original direction
your starting E
to the air) is E
nearly circular orbit of 384.4 Mm radius in 27.3 days.
42. Global Positioning System (GPS) satellites circle Earth at alti-
tudes of approximately 20,000 km, where the gravitational accel-
eration has 5.8% of its surface value. To the nearest hour, what''s
pointing toward 3 and the y-axis toward noon.
expression for
head 11.5 w
flight takes
of motion, with twice its original speed. Find an
wind veloci
the orbital period of the GPS satellites?
43. Pilots of high-performance aircraft risk loss of consciousness if
they undergo accelerations exceeding about 5g. For a military jet
flying at 2470 km/h (about twice the speed of sound), what's the
minimum radius for a turn that will keep the acceleration below 5g?
55. A particle
tion of the object's motion.
where c ar
t>0 whe
the y-dire
56. An objec
object to be moving in one direction but
goes an acceleration a = 0.52ĵ m/s². Find its velocity vec
after 5.2 s.
rith constant velocity on a level road
ight up. When the ball returns, does
you, or back at your hand? Explain.
re legitimate mathematical equa-
n/s; (b) v = 5 m/s; (c) a = dvldt;
nitude 2
Example Variations
it's mo
26. You're piloting a small plane on a route directly north, but there?.
a wind blowing from the west at 65 km/h. If your plane's ain
speed (i.e., its speed relative to the air) is 470 km/h, in what di
rection should you head?
Section 3.3 Relative Motion
The following problems are based on two examples from the text. Each
set of four problems is designed to help you make connections that
enhance your understanding of physics and to build your confidence
in solving problems that differ from ones you've seen before. The first
problem in each set is essentially the example problem but with differ-
ent numbers. The second problem presents the same scenario as the
example but asks a different question. The third and fourth problen
repeat this pattern but with entirely different scenarios.
tween
closer
57. You'r
will
27. You wish to row straight across a 63-m-wide river. You can row.
at a steady 1.3 m/s relative to the water, and the river flows at
0.57 m/s. (a) What direction should you head? (b) How long will
it take you to cross the river?
28. A plane with airspeed 320 km/h flies perpendicularly across the
jet stream, its nose pointed into the jet stream at 38° from the
perpendicular direction of its flight. Find the speed of the jet
gotia
сес
wha
no
58. Ar
th
5 km east. Find (a) the magni-
1 (b) its direction, expressed
direction.
s a semicircular path of ra-
e it travels and (b) the mag-
44. Example 3.3: You're windsurfing at 6.28 m/s when a gust hi
accelerating your sailboard at 0.714 m/s at 48.8° to your origi
direction. If the gust lasts 5.42 s, what's the magnituof
board's displacement during this time?
45. Example 3.3: You're windsurfing at 5.68 m/s when a gits
celerating your sailboard at 62.5° to your original directi
lasts 5.42 s, and the board's displacement during this time is 37.2 m.
Find the magnitude of the board's acceleration during the gust.
stream.
29. A flock of geese is attempting to migrate due south, but the wind
is blowing from the west at 4.9 m/s. If the birds can fly at 7.6 m/s
relative to the air, in which direction should they be headed?
59.
he
Mexico and California. It
due north and travels an-
Section 3.4 Constant Acceleration
46. Example 3.3: A hockey puck glides across the ice at 271 mle
magnitude and direction
30. The position of an ohinat
Samsung Quad Camera
Shot with my Galaxy A71

n while moving northward?
of
fast would a car have to round a 50-m-radius turn for its
acceleration to be numerically equal to that of gravity
41. Determine the acceleration of the Moon, which completes a
val from noon to 6 PM
178-42) and B
f while your friend gives another
he same height. Which of the two
pointing toward 3 and the y-axis toward
54 You're a pelot beginning a 1280
an
of motion, with twice its original speed. Find
the angle between the acceleration vector and the origineTon fo
nearly circular orbit of 384.4 Mm radius in 27.3 days
42. Global Positioning System (GPS) satellites circle Earth at alti-
your starting point Your plane
to the air) is 846 km/h, and ab
bead 115 west of south to
fight takes 115 min, what
wind velocity?
55 A particle's position
where e andd are positi
1>0 when the partick
st?
it
an
-lly two (or three) equations?
pughout its parabolic trajectory?
s trajectory where velocity and
tudes of approximately 20.000 km. where the gravitational accel-
eration has 5.8% of its surface value. To the nearest hour, what's
tion of the object's motion.
25. An object is moving in the x-direction at 1.1 m/s when is
the orbital period of the GPS satellites?
43. Pilots of high-performance aircraft risk loss of consciousness if
they undergo accelerations exceeding about 5g. For a mihtary jet
flying at 2470 km/h (about twice the speed of sound), what's the
minimum radius for a tum that will keep the acceleration below 5g?
0 52î m/s². Find its velocity vect
goes an acceleration a
after 5.2 s.
e moving in one direction but
%3D
the y-direction.
56. An object moving at
ant velocity on a level road
Vhen the ball returns, does
ck at your hand? Explain.
ate mathematical equa-
nitude 20 m/s that
Section 3.3 Relative Motion
Example Variations
it's moving at 88
26. You're piloting a small plane on a route directly north, but 1.
The following problems are based on two examples from the text. Each
set of four problems is designed to help you make connections that
enhance your understanding of physics and to build your confidence
in solving problems that differ from ones you've seen before. The first
problem in each set is essentially the example problem but with differ-
ent numbers. The second problem presents the same scenario as the
tween the initial
closer to 0, to
= 5 m/s; (c) a = dvldt;
57. You're design
rection should you head?
27. You wish to row straight across a 63-m-wide river. You com
will exit the E
gotiating a c
ceed 0.45g
what's the
example but asks a different question. The third and fourth problems
repeat this pattern but with entirely different scenarios.
not banke
58. An obje
28. A plane with airspeed 320 km/h flies perpendicularly
jet stream, its nose pointed into the jet stream at 38° from the
perpendicular direction of its flight. Find the speed of the jet
it take you to cross the river?
the end
44. Example 3.3: You're windsurfing at 6.28 m/s when a gust hits,
accelerating your sailboard at 0.714 m/s at 48.8° to your original
direction. If the gust lasts 5.42 s, what's the magnitude of the
board's displacement during this time?
45. Example 3.3: You're windsurfing at 5.68 m/s when a gust hits, ac-
celerating your sailboard at 62.5° to your original direction. The gust
lasts 5.42 s, and the board's displacement during this time is 37.2 m.
Find the magnitude of the board's acceleration during the gust.
its vel
Find (a) the magni-
rection, expressed
O000
ircular path of ra-
much
char
stream.
nit
29. A flock of geese is attempting to migrate due south, but the wind
59. T
Samsung Quad Camera, from the west at 4.9 m/s. If the birds can fly at 7.6 m/s
and (b) the mag-
Shot with my Galaxy A71ve to the air, in which direction should they be headed?
nd California. It
Section 3.4 Constant Acceleration
46. Example 3.3: A hockey puck glides across the ice at 27.7 m/s,
u otick giving it an ac-

Accepted Answer

Answered: Image /qna-images/answer/5238cad4-a80d-414c-85b3-3204be70caf4.jpg