/jp/ - Otaku Culture

>>11083400
got in my bird folder

So do you just basically do vector addition? In that case, she would be flying 315.5 ms^-1 at 23.1° north of east.

Detailed working:

Let us simplify the workings of the problem by assuming Aya is flying at a 16 degree incline to the x-axis in a 2D coordinate system. The wind is blowing in the opposite direction at 39 degrees, giving 141 degree inclanation to the x-axis.

The problem is solved by considering the movement of Aya and the movement of the wind as vectors, separating them into their x and y components and then adding the components to get the resultant vector for Aya.

Aya:
v = 340.29 ms^-1
α = 16 degrees

v_x = v * cos 16
v_y = v * sin 16

Wind:
w = 47.3 ms^-1
θ = 180 - 39 = 141 degrees

w_x = v * cos 141
w_y = v * sin 141

The resultant vector for Aya then has the following x and y components:

u_x = v_x + w_x
u_y = v_y + w_y

The magnitude of the vector, i.e. Aya's net speed is then:

u = sqrt(u_x^2 + u_y^2) approx. 315.5 ms^-1

The resultant angle, γ, can be calculated as:

tan γ = u_y / u_x
γ = arctan(u_y / u_x) approx. 23.1°

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