You take your dog on a walk to a nearby park. On the way, your dog takes many short side trips to chase squirrels, examine fire hydrants, and so on. When you arrive at the park, do you and your dog have the same displacement from home? Have you and your dog traveled the same distance? Explain.

Question

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Answer 1

Textbook Question

Chapter 2, Problem 1CQ

You take your dog on a walk to a nearby park. On the way, your dog takes many short side trips to chase squirrels, examine fire hydrants, and so on. When you arrive at the park, do you and your dog have the same displacement from home? Have you and your dog traveled the same distance? Explain.

Expert Solution & Answer

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

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Answer 2

Textbook Question

Chapter 2, Problem 1CQ

You take your dog on a walk to a nearby park. On the way, your dog takes many short side trips to chase squirrels, examine fire hydrants, and so on. When you arrive at the park, do you and your dog have the same displacement from home? Have you and your dog traveled the same distance? Explain.

Expert Solution & Answer

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

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Answer 3

Textbook Question

Chapter 2, Problem 1CQ

You take your dog on a walk to a nearby park. On the way, your dog takes many short side trips to chase squirrels, examine fire hydrants, and so on. When you arrive at the park, do you and your dog have the same displacement from home? Have you and your dog traveled the same distance? Explain.

Expert Solution & Answer

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

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Answer 4

Textbook Question

Chapter 2, Problem 1CQ

You take your dog on a walk to a nearby park. On the way, your dog takes many short side trips to chase squirrels, examine fire hydrants, and so on. When you arrive at the park, do you and your dog have the same displacement from home? Have you and your dog traveled the same distance? Explain.

Expert Solution & Answer

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Answer 8

Expert Solution & Answer

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether you and your dog have the same displacement between the home and park and the distance travelled is same or not.

Answer 12

Answer to Problem 1CQ

The displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.

Answer 13

Explanation of Solution

The condition is that you and your dog started for the park from the home so the initial point is same for both of you and the final position is the park which is also same. The displacement is the difference between the initial and the final position of the object; it is the mean shortest path between the two points. The displacement is not affected by the path taken to reach the destination as the initial and the final position of both of you are same so the displacement is also same.

The distance covered is the total path covered by the object in the trip on the other side so in the given condition during the trip the dog has taken many side trips due to which the total distance covered by the dog is larger than the distance covered by you. The distance does not depend on the initial and the final point of the path only it depends on the path covered during the travelling. Thus the distance covered by you and your dog is not same.

Conclusion

Therefore, the displacement of you and the dog between the home and park is same as the mean shortest distance is same and the distance covered by the dog is more than that of the person.