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an airplane is traveling 735 KM/H and direction 41.5 west of north find the component of the velocity vector in the notherly and in Westerly directions how far north and how far west has the plane traveled after 3.00h

Respuesta :

the. correct answer is 53.1

Answer:

[tex]v_x = 550.5 km/h[/tex] Along North

[tex]v_y = 487 km/h[/tex] Along West

[tex]d_{west} = 1461 km[/tex] Along West

[tex]d_{north} = 1651.5 km[/tex] Along North

Explanation:

Velocity of Airplane is given as

[tex]v = 735 km/h[/tex] at 41.5 degree West of North

now we know that

Along North Direction

[tex]v_x = v cos41.5[/tex]

[tex]v_x = 550.5 km/h[/tex]

Along West direction

[tex]v_y = 735 sin41.5[/tex]

[tex]v_y = 487 km/h[/tex]

Now distance moved by the plane in 3.00 h is given as

Along west

[tex]d_{west} = 487 \times 3[/tex]

[tex]d_{west} = 1461 km[/tex]

Along North

[tex]d_{north} = 550.5 \times 3[/tex]

[tex]d_{north} = 1651.5 km[/tex]

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