1) A vector has components Ax = 58 m and Ay = 15 m. Find the lengthof angle it m

Question

1) A vector has components Ax = 58 m and Ay = 15 m. Find the lengthof angle it makes with the x axis. (Answer should be insignificant figure)

2) An airplane flies 200 km due west from city A to city B and then350 km in the direction of 28.0° north of west from city B tocity C.

(a) In straight-line distance, how far is city C from city A?
(b) Relative to city A, in what direction is city C?

3) A vector has an x component of -24.5 units and a y component of53.0 units. Find the magnitude and direction of the vector

4) A commuter airplane starts from an airport and takes theroute. The plane first flies to city A located 175 km away ina direction 30.0° north of east. Next, it flies for 150 km20.0° west of north to city B. Finally, the plane flies 190 kmdue west, to city C. Find the location of city C relative to thelocation of the starting point.

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Explanation / Answer

1) angle = tan-1 (Ay /Ax)                 = tan-1 (15 / 58)                 = 14.5o

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