You are in a hot-air balloon that, relative to the ground, has a velocity of 4.7

Question

You are in a hot-air balloon that, relative to the ground, has a velocity of 4.70 m/s in a direction due east. You see a hawk moving directly away from the balloon in a direction due north. The speed of the hawk relative to you is 2.27 m/s. What are (a) the magnitude and (b) direction of the hawk's velocity relative to the ground? Express the directional angle relative to due east.

(a) Number Units No units You are in a hot-air balloon that, relative to the ground, has a velocity of 4.70 m/s in a direction due east. You see a hawk moving directly away from the balloon in a direction due north. The speed of the hawk relative to you is 2.27 m/s. What are (a) the magnitude and (b) direction of the hawk's velocity relative to the ground? Express the directional angle relative to due east.

Explanation / Answer

a)

v = sqrt(2.27*2.27+4.70*4.70) = 5.22 m/s

b)

arctan(2.27/4.70) = 25.8 ddegrees

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