PHYSICS F/SCI.+ENGINEERS W/MOD.PHYSICS
5th Edition
ISBN: 9780321992277
Author: GIANCOLI
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 4Q
Can the displacement vector for a particle moving in two dimensions ever be longer than the length of path traveled by the particle over the same lime interval? Can it ever be less? Discuss.
The length of the displacement vector is the straight-line distance between the beginning point and the ending point of the trip and therefore the shortest distance between the two points. If the path is a straight line, then the length of the displacement vector is the same as the length of the path. If the path is curved or consists of different straight line segments, then the distance from beginning to end will be less than the path length. Therefore, the displacement vector can never be longer than the length of the path traveled, but it can be shorter.
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Chapter 3 Solutions
PHYSICS F/SCI.+ENGINEERS W/MOD.PHYSICS
Ch. 3.2 - Prob. 1AECh. 3.3 - What does the incorrect vector in Fig. 36c...Ch. 3.8 - Prob. 1DECh. 3.8 - The maximum range of a projectile is found to be...Ch. 3 - One car travels due east at 40 km/h. and a second...Ch. 3 - Can you conclude that a car is not accelerating if...Ch. 3 - Prob. 3QCh. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a batter hits a very...Ch. 3 - If V=V1+V2, is V necessarily greater than V1...
Ch. 3 - Prob. 7QCh. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...Ch. 3 - Can a particle with constant speed be...Ch. 3 - Prob. 11QCh. 3 - In archery, should the arrow be aimed directly at...Ch. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - A projectile is launched at an upward angle of 30...Ch. 3 - A projectile has the least speed at what point in...Ch. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - A person sitting in an enclosed train car, moving...Ch. 3 - If you are riding on a train that speeds past...Ch. 3 - Two rowers, who can row at the same speed in still...Ch. 3 - If you stand motionless under an umbrella in a...Ch. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 1PCh. 3 - Prob. 3PCh. 3 - (II) Graphically determine the resultant of the...Ch. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - (II) (a) Given the vectors A and B shown in Fig....Ch. 3 - (II) Determine the vector AC, given the vectors A...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - (I) What was the average velocity of the particle...Ch. 3 - Prob. 21PCh. 3 - (II) At t = 0, a particle starts from rest at x =...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - (II) A fire hose held near the ground shoots water...Ch. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - (II) (a) A long jumper leaves the ground at 45...Ch. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - (II) Suppose the kick in Example 3-7 is attempted...Ch. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - (I) Huck Finn walks at a speed of 0.70m/s across...Ch. 3 - (II) Determine the speed of the boat with respect...Ch. 3 - Prob. 65PCh. 3 - (II) A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - Prob. 67PCh. 3 - (II) In what direction should the pilot aim the...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - (II) A swimmer is capable of swimming 0.60 m/s in...Ch. 3 - (II) A swimmer is capable of swimming 0.60m/s in...Ch. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76GPCh. 3 - Prob. 77GPCh. 3 - Prob. 78GPCh. 3 - Prob. 79GPCh. 3 - (II) Here is something to try at a sporting event....Ch. 3 - Prob. 82GPCh. 3 - Prob. 83GPCh. 3 - Prob. 84GPCh. 3 - Prob. 85GPCh. 3 - Prob. 86GPCh. 3 - Prob. 87GPCh. 3 - Prob. 88GPCh. 3 - Prob. 89GPCh. 3 - Prob. 90GPCh. 3 - Prob. 91GPCh. 3 - Prob. 93GPCh. 3 - Prob. 95GPCh. 3 - The speed of a boat in still water is v. The boat...Ch. 3 - At t = 0 a batter hits a baseball with an initial...Ch. 3 - Prob. 98GPCh. 3 - Prob. 99GPCh. 3 - Prob. 100GPCh. 3 - Prob. 101GPCh. 3 - Prob. 102GP
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