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A small airplane leaves an airport on an...

A small airplane leaves an airport on an overcast day and is later sighted `215km` away, in a direction making an angle of `22 ^(@)` east of due north. This means that the direction is not due north (directly toward the north) but is rotated `22^(@)` toward the east from due north. How far east and north is the airplane from the airport when sighted ?

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AI Generated Solution

To solve the problem of determining how far east and north the airplane is from the airport when sighted, we can use trigonometric functions. Here's a step-by-step solution: ### Step 1: Understand the Problem The airplane is located 215 km away at an angle of 22 degrees east of due north. We need to find the northward and eastward components of this distance. ### Step 2: Identify the Components We can break down the distance into two components: - The northward component (N) ...
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RESNICK AND HALLIDAY-VECTORS -PRACTICE QUESTIONS
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  2. Which one of the following statements is true concerning scalar quanti...

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  3. Which one of the following quantities is a vector quantity ?

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  4. Which one of the following statements concerning vectors and scalars i...

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  5. 12 coplanar non collinear forces (all of equal magnitude) maintain a b...

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  6. If vectors vecA = hati + 2 hatj + 4 hatk and vecB = 5 hati represent t...

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  7. mark the correct statement .

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  8. Two vectors A and B, are added together to form the vector C = A+B. Th...

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  9. Three vectors A, B, and C add together to yield zero : A + B + C =0. T...

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  10. If vector vecC is added to vector vecD, the results is a third vector ...

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  11. Given that vecA + 2 vecB= x(1) hat j 2 vecA - vecB = x (2) hati + y(2...

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  12. A vector vecA ur is rotated by a small angle triangletheta radian (tri...

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  13. The vector vecA has components + 5 and + 7 along the x-axes and y-axes...

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  14. In a two-dimensional motion of a particle, the particle moves from poi...

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  15. Each of two vectors vecD (1) and vecD (2) lies along a coordinamte axi...

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  16. Town A lies 20 km north of town B. Town C lies 13 km west of town A.A ...

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  17. A force F (1), of magnitude 2.0N and directed due east is exerted on a...

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  18. A race car will make one lap around a circular track of radius R. When...

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  19. what is the direction of his total displacemetn vector with respect to...

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  20. Consider the following four force vectors: vecF(1) = 50.0N, due east...

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  21. Two bicyclists, starting at the same place, are riding toward the same...

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