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2.
A toy plane's is flying 55° going 8 m/s. If the wind is pushing with a velocity of 3 m/s at 30°,
find the total velocity and direction of plane.

Respuesta :

Answer:

Vp = velocity of plane

Vpx = Vp cos 55 = 8 * .57 = 4.59 m/s      velocity of plane along x-axis

Vpy = Vp sin 55 = 8 * .82 = 6.55 m/s        velocity of plane along y-axis

If Wx = -3 m/s then

Vx = 4.59 - 3 = 1.59 m/s

Vy = 6.55 m/s      wind does not affect vertical speed

tan theta = Vy / Vx = 6.55 / 1,59 = 4.12

theta = 76.4 deg    above x-axis

V = (1.59^2 + 6.55^2)^1/2 = 6.74 m/s

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