In an attempt to escape his island, Gilligan builds a raft and sets it 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 1.30 km 25.0º south of west; then 5.10 km straight east; then 1.70 km 5.00º east of north; then 7.20 km 55.0º south of west; and finally 2.80 km 10.0º north of east. What is his final position relative to the island? Be sure to include your vector drawing as part of your solution.

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

A: a) So, the x component of R is  Rx=Ix+Zx+Ax+LxRx=20cos45+-14+-12.5 sin…

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Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2.00i^ + 6.00j^B→ = 3.00i^ - 2.00j^

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Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2i^ + 6j^B→ = 3i^ - 2j^

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Q: (7%) Problem 7: Suppose a pilot flies 41 km in a direction 60° north of east and then flies 33 km in…

A:

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: The given distances travelled with respect to x-axis are,

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A: given A = 7 m, North          B = 5m, 300 North of west           C = 8 m , east

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Q: it strikes the A) 34.3 B) 24.3 C) 19.6 D) 14.3 E) 8.3 3) A ball is kicked from ground level with a…

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Q: A biker travelled 270.0 meters 42° N of E to point A, then 80.0 meters west to point B, and finally,…

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A:

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A: Solution:-

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A: Consider the diagram below.

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A:

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: d1 = 2.5 km @45o north of west d2 = 4.70 km@60o south of east d3 = 5.1 km due east d4 = 7.2 km @55o…

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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: →d1 = 2.5 (-cos(45)i^ + sin(45)j^) = -1.77 i^ + 1.77 j^ km →d2 = 4.7 (+cos(60)i^ - sin(60)j^) = 2.35…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→=2 i^ + 6 j^B→ = 3 i^ - 2 j^ (a)  A→ +B→ =2 i^ + 6 j^ + 3 i^ - 2 j^ = 5 i^ + 4 j^ The magnitude is…

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Q: In an attempt to escape his island, Gilligan builds a raftand sets to sea. The wind shifts a great…

A: The vector diagram for the plane is given below.

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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.