contestada

What are the components of vector A if its magnitude is 70 m/s and makes an angle of 51.7° with the +x-axis?


A. Ax = 53.6 m/s, Ay = 87.0 m/s


B. Ax = 87.0 m/s, Ay = 53.6 m/s


C. Ax = 43.4 m/s, Ay = 54.9 m/s


D. Ax = 54.9 m/s, Ay = 43.4 m/s

Respuesta :

Since, A is a vector. Hence, we can break it into two components (x and y)

Angle made by the velocity vector A with the x-axis = 51.7°

Magnitude of the vector A = 70 m/s

[tex]A_x = A \times Cos 51.7[/tex]°

[tex]A_x = 70 \times 0.617[/tex]

[tex]A_x = 43.4[/tex] m/s

[tex]A_y = 70 \times Sin 51.7[/tex]°

[tex]A_y = 70 \times 0.784[/tex]

[tex]A_y = 54.9[/tex] m/s

Hence, the option C is correct.

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