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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

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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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