A car drives North as 45 km per hour for 12 minutes and then turns East and goes 6.0 km at 90 km per hour. finally it's go Southwest at 60 km per hour for 7.0 minutes. determine the displacements and average velocity for this trip

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 61P: In the control tower at a regional airport, an air traffic controller monitors two aircraft as their...
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A car drives North as 45 km per hour for 12 minutes and then turns East and goes 6.0 km at 90 km per hour. finally it's go Southwest at 60 km per hour for 7.0 minutes. determine the displacements and average velocity for this trip.

Can an ohject have
ward? A westward acceleration while moving
You drop a ball from the roof while vour friend gives
7. Is on a and
How is it for an to be in one but
4.
ball a of the rwo
5. In is equations?
ation that
of motion, with
the angle betwe
tion of the obje
balls would reach the ground first?
Is a its trajectory?
25. An object is ma
goes an accels
after 5.2 s.
Ncceleration are perpendicular?
accelerating in another?
You're in a bus moving with constant velocity on a level road
9.
when you throw a baTl straisht up, When the ball returns, does
Section 3.3 Re
t land ahead of you, behind you, or back at your hand? Explain.
10. Which of the following are egitimate mathematical equa-
tions? Explain. (a) v= si m/s: (b) -5 m/s: (c) a
(d) a= dildt; (e) v= 5i m/s.
26. You're piloti
a wind blow
speed (i.e., i
rection shou
27. You wish to
at a steady
Exercises and Problems
...
Exercises
0.57 m/s. (
it take you
Section 3.1 Vectors
28. A plane w
jet strean
perpendi
11. You walk 1.57 km north, then 0.846 km east. Find (a) the magni-
tude of your displacement vector and (b) its direction, expressed
as an angle relative to the northward direction.
12. An ion in a mass spectrometer follows a semicircular path of ra-
dius 15.8 cm. What are (a) the distance it travels and (b) the mag-
nitude of its displacement?
13. A migrating whale follows the coast of Mexico and California. It
first travels 360 km northwest, then turns due north and travels an-
other 410 km. Determine graphically the magnitude and direction
of its displacement.
stream.
29. A flock
is blowi
relative
Section 3.
30. The p
Vector A has magnitude 4.0 m and points to the right; vector B
) = !
Find t
has magnitude 3.0 m and points vertically upward. Find the mag-
nitude and direction of vector C such that A + B + C = 0.
15. Use unit vectors to express a displacement of 150 km at 35°
31. You's
orig
disp
counterclockwise from the x-axis.
16. Find the magnitude of the vector 3lî + 56ĵ m, and determine its
angle to the x-axis.
Section
17. (a) What's the magnitude of î + ĵ? (b) What angle does it make
with the x-axis?
32. Yo
Si
Section 3.2
Velocity and Acceleration Vectors
lo
18.
33. A
You're leading an international effort to save Earth from an asteroid
heading toward us at 11 km/s. Your team mounts a rocket on the as-
teroid and fires it for 10 min, after which the asteroid is moving at
21 km/s at 24° to its original path. In a news conference, what do you
report for the magnitude of the acceleration imparted to the asteroid?
19. An object's velocity vector v has components related by vy = =Vx-
What are the possible values for the angle that v makes with the
x-axis?
a
34.
35.
-v,
20. A car drives north at 45 km/h for 12 min and then turns east and
36.
goes 6.0 km at 90 km/h. Finally, it goes southwest at 60 km/h for
7.0 min. Determine the car's (a) displacement and (b) average ve-
locity for this trip.
Samsung Quad Camera
Shot with my Galaxy A71
Transcribed Image Text:Can an ohject have ward? A westward acceleration while moving You drop a ball from the roof while vour friend gives 7. Is on a and How is it for an to be in one but 4. ball a of the rwo 5. In is equations? ation that of motion, with the angle betwe tion of the obje balls would reach the ground first? Is a its trajectory? 25. An object is ma goes an accels after 5.2 s. Ncceleration are perpendicular? accelerating in another? You're in a bus moving with constant velocity on a level road 9. when you throw a baTl straisht up, When the ball returns, does Section 3.3 Re t land ahead of you, behind you, or back at your hand? Explain. 10. Which of the following are egitimate mathematical equa- tions? Explain. (a) v= si m/s: (b) -5 m/s: (c) a (d) a= dildt; (e) v= 5i m/s. 26. You're piloti a wind blow speed (i.e., i rection shou 27. You wish to at a steady Exercises and Problems ... Exercises 0.57 m/s. ( it take you Section 3.1 Vectors 28. A plane w jet strean perpendi 11. You walk 1.57 km north, then 0.846 km east. Find (a) the magni- tude of your displacement vector and (b) its direction, expressed as an angle relative to the northward direction. 12. An ion in a mass spectrometer follows a semicircular path of ra- dius 15.8 cm. What are (a) the distance it travels and (b) the mag- nitude of its displacement? 13. A migrating whale follows the coast of Mexico and California. It first travels 360 km northwest, then turns due north and travels an- other 410 km. Determine graphically the magnitude and direction of its displacement. stream. 29. A flock is blowi relative Section 3. 30. The p Vector A has magnitude 4.0 m and points to the right; vector B ) = ! Find t has magnitude 3.0 m and points vertically upward. Find the mag- nitude and direction of vector C such that A + B + C = 0. 15. Use unit vectors to express a displacement of 150 km at 35° 31. You's orig disp counterclockwise from the x-axis. 16. Find the magnitude of the vector 3lî + 56ĵ m, and determine its angle to the x-axis. Section 17. (a) What's the magnitude of î + ĵ? (b) What angle does it make with the x-axis? 32. Yo Si Section 3.2 Velocity and Acceleration Vectors lo 18. 33. A You're leading an international effort to save Earth from an asteroid heading toward us at 11 km/s. Your team mounts a rocket on the as- teroid and fires it for 10 min, after which the asteroid is moving at 21 km/s at 24° to its original path. In a news conference, what do you report for the magnitude of the acceleration imparted to the asteroid? 19. An object's velocity vector v has components related by vy = =Vx- What are the possible values for the angle that v makes with the x-axis? a 34. 35. -v, 20. A car drives north at 45 km/h for 12 min and then turns east and 36. goes 6.0 km at 90 km/h. Finally, it goes southwest at 60 km/h for 7.0 min. Determine the car's (a) displacement and (b) average ve- locity for this trip. Samsung Quad Camera Shot with my Galaxy A71
30. The position of
F= (3.2t + 1.8)i + (1.7t
Find the object's acceleration vector.
second
Simultaneously, you drop a peach from the same height. H
first travels 360 km northwest, then turns due north and travels an-
other 410 km. Determine graphically the magnitude and directon
of its displacement.
2.4t
la
46.
14.
Vector A has magnitude 4.0 m and points to the right; vector B
has magnitude 3.0 m and points vertically upward. Find the mag-
nitude and direction of vector C such that A + B + C = 0.
15. Use unit vectors to express a displacement of 150 km at 35
counterclockwise from the x-axis.
16. Find the magnitude of the vector 31î + 56î m, and determine its
angle to the x-axis.
17. (a) What's the magnitude of î + ĵ? (b) What angle does it make
with the x-axis?
you
displacement during the gust.
16.
32. You toss an apple horizontally at 8.1 m/s from a height osa
Simultaneously, you drop a
long does each take to reach the ground?
33. A carpenter tosses a shingle horizontally off an 8.2-m-higt
at 14 m/s. (a) How long does it take the shingle to rea
ground? (b) How far does it move horizontally?
34. An arrow fired horizontally at 35 m/s travels 23 m hori
From what height was it fired?
35. Droplets in an ink-jet printer are ejected horizontally
and travel a horizontal distance of 1.0 mm to the pap
do they fall in this interval?
36. Protons drop 1.1 µm over the 1.5-km length of a par
ator. What's their approximate average speed?
37. If you can hit a golf ball 170 m on Earth, how far
on the Moon? (Your answer will be an underestin
neglects air resistance on Earth.)
Section 3.5
Projectile Motion
peach from the same height
Section 3.2 Velocity and Acceleration Vectors
18.
You re leading an international effort to save Earth from an asteroid
heading toward us at 11 km/s. Your team mounts a rocket on the as-
teroid and fires it for 10 min, after which the asteroid is moving at
21 km/s at 24° to its original path. In a news conference, what do you
report for the magnitude of the acceleration imparted to the asteroid?
19. An object's velocity vector v has components related by vy
ーVx
What are the possible values for the angle that v makes with the
x-axis?
20. A car drives north at 45 km/h for 12 min and then turns east and
goes 6.0 km at 90 km/h. Finally, it goes southwest at 60 km/h for
7.0 min. Determine the car's (a) displacement and (b) average ve-
Samsung Quad Camera
Shot with my Galaxy A71
Transcribed Image Text:30. The position of F= (3.2t + 1.8)i + (1.7t Find the object's acceleration vector. second Simultaneously, you drop a peach from the same height. H first travels 360 km northwest, then turns due north and travels an- other 410 km. Determine graphically the magnitude and directon of its displacement. 2.4t la 46. 14. Vector A has magnitude 4.0 m and points to the right; vector B has magnitude 3.0 m and points vertically upward. Find the mag- nitude and direction of vector C such that A + B + C = 0. 15. Use unit vectors to express a displacement of 150 km at 35 counterclockwise from the x-axis. 16. Find the magnitude of the vector 31î + 56î m, and determine its angle to the x-axis. 17. (a) What's the magnitude of î + ĵ? (b) What angle does it make with the x-axis? you displacement during the gust. 16. 32. You toss an apple horizontally at 8.1 m/s from a height osa Simultaneously, you drop a long does each take to reach the ground? 33. A carpenter tosses a shingle horizontally off an 8.2-m-higt at 14 m/s. (a) How long does it take the shingle to rea ground? (b) How far does it move horizontally? 34. An arrow fired horizontally at 35 m/s travels 23 m hori From what height was it fired? 35. Droplets in an ink-jet printer are ejected horizontally and travel a horizontal distance of 1.0 mm to the pap do they fall in this interval? 36. Protons drop 1.1 µm over the 1.5-km length of a par ator. What's their approximate average speed? 37. If you can hit a golf ball 170 m on Earth, how far on the Moon? (Your answer will be an underestin neglects air resistance on Earth.) Section 3.5 Projectile Motion peach from the same height Section 3.2 Velocity and Acceleration Vectors 18. You re leading an international effort to save Earth from an asteroid heading toward us at 11 km/s. Your team mounts a rocket on the as- teroid and fires it for 10 min, after which the asteroid is moving at 21 km/s at 24° to its original path. In a news conference, what do you report for the magnitude of the acceleration imparted to the asteroid? 19. An object's velocity vector v has components related by vy ーVx What are the possible values for the angle that v makes with the x-axis? 20. A car drives north at 45 km/h for 12 min and then turns east and goes 6.0 km at 90 km/h. Finally, it goes southwest at 60 km/h for 7.0 min. Determine the car's (a) displacement and (b) average ve- Samsung Quad Camera Shot with my Galaxy A71
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