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In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0º north of west; then 4.70 km 60.0º south of east; then 1.30km 25.0º south of west; then 5.10 km straight east; then 1.70km 5.00º east of north; then 7.20 km 55.0º south of west; and finally 2.80 km10.0º north of east. What is his final position relative to the island?
In an attempt to escape his island, Gilligan builds a raftand sets to sea. The wind shifts a great deal during the day,and he is blown along the following straight lines: 2.50 km45.0º north of west; then 4.70 km 60.0º south of east;then 1.30 km 25.0º south of west; then 5.10 km straighteast; then 1.70 km 5.00º east of north; then 7.20 km55.0º south of west; and finally 2.80 km 10.0º north ofeast. What is his final position relative to the island?24. Suppose a pilot flies 40.0 km in a direction 60º north ofeast and then flies 30.0 km in a direction 15º north of east .Find her total distance R from thestarting point and the direction θ of the straight-line path tothe final position. Discuss qualitatively how this flight would bealtered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of theplane relative to the air mass
13. ssm A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due west?

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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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