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 30m/s . The plane is in a 15m/s wind blowing toward the southwest relative to the earth.

1.

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 answers using two significant figures separated by commas.

2.

Find the magnitude of v? P/E.

Express your answer using two significant figures.

3.

Find the direction of v? P/E.

Express your answer using two significant figures.

Explanation / Answer

a) Vp/e = Vp/a + Va/e

Vp/a = 0 i - 30 m/s j

Va/e = 15m/s * cos 225 i + 15 m/s * sin 225 j

= -10.61 m/s i - 10.61 m/s j

Vp/e = -10.61 m/s i - 40.61 m/s j

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b) Vp/e = sqrt (40.61

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