Please show all work 2.An airplane undergoes the following displacements: First,

Question

Please show all work

2.An airplane undergoes the following displacements: First, it flies 52 km in a direction 30

The components of vectors A and B are given as follows: A x = +9.5 B x = -8.7 Ay = -8.1 By = -2.8 The magnitude of the vector difference B ? - A ? , is closest to what? An airplane undergoes the following displacements: First, it flies 52 km in a direction 30 degree east of north. Next, it flies 47 km due south. Finally, it flies 100 km 30 degree north of west. Using analytical methods, determine how far the airplane ends up from its starting point.

Explanation / Answer

B - A = (-8.7-9.5) i + ( -2.8 +8.1) j

= - 18.2 i + 5.3 j

| B - A | = 18.956

2.

52 ( cos 60 i + sin 60 j ) - 47 j + 100 ( - cos 30 i + sin 30 j )

- 60.60 i + 48.033 j

magnitude = 77.327 km

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