Respuesta :
Answer:
(a)Velocity of wind = 35 j
(b)Velocity of jet relative to air = 425 i
(c)True velocity of jet = 425 i + 35 j
(d)True speed of jet = [tex]\sqrt{425^{2}+35^{2}}[/tex] = 426.88 mi/h
Direction of jet is, ∅ = [tex]tan^{-1} \frac{40}{425}[/tex] = 5.38°
Explanation:
We can represent east direction by i and north direction by j.
The jet has a relative speed of 425 mi/h relative to the air.
The wind is blowing due north with a speed of 35 mi/h = 35 j
425 mi/h is the relative speed with respect to wind that is
Velocity of jet wrt wind= [tex]V_{jw}[/tex] = [tex]V_{j}-V_{w}[/tex]
425 i = [tex]V_{j}[/tex] - 35 j
[tex]V_{j}[/tex] = 425 i + 35 j
(a)Velocity of wind = 35 j
(b)Velocity of jet relative to air = 425 i
(c)True velocity of jet = 425 i + 35 j
(d)True speed of jet = [tex]\sqrt{425^{2}+35^{2}}[/tex] = 426.88 mi/h
Direction of jet is,
∅ = [tex]tan^{-1} \frac{40}{425}[/tex] = 5.38°
