The nose of an ultralight plane is pointed south, and its airspeed indicator sho

Question

The nose of an ultralight plane is pointed south, and its airspeed indicator shows 41 m/s . The plane is in a 14 m/s wind blowing toward the southwest relative to the earth.

Part A Letting x be east and y be north, find the components of v P/E (the velocity of the plane relative to the earth). Express your answer using two significant figures.

Part B Find the magnitude of v P/E. Express your answer using two significant figures.

Part C Find the direction of v P/E.Express your answer using two significant figures.

Explanation / Answer

To find x and y, add the vectors together to get one big vector. to find the x component you take 14 * sin 45 (since its southwest) and get 9.9. that is your x component (negative though cause its the opposite of NE) for the y component you take that value and add to 41, getting 50.9. (also negative since it's downward)

part 2: Magnitude = sqrt[9.9^2 + 50.9^2] = 51.85 m/s

part 3: tan^-1(50.9/9.9) = 78.99 degree

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