contestada

A typical jet airliner has a cruise airspeed of 900 km/h , which is its speed relative to the air through which it is flying. If the wind at the airliner’s cruise altitude is blowing at 100 km/h from west to east, what is the speed of the airliner relative to the ground if the airplane is flying from (a) west to east, and (b) east to west

Respuesta :

Explanation:

It is given that,

Speed of the jet airplane with respect to air, [tex]v_{PA} = 900\ km/h[/tex]          

If the wind at the airliner’s cruise altitude is blowing at 100 km/h from west to east, [tex]v_{AG}= 100\ km/h[/tex]

(A) Let [tex]v_{PG}[/tex] is the speed of the airliner relative to the ground if the airplane is flying from west to east,

[tex]v_{PG}=900-100=800\ km/h[/tex]

(B) Let [tex]v'_{PG}[/tex] is the speed of the airliner relative to the ground if the airplane is flying from east to west,

[tex]v'_{PG}=900+100=1000\ km/h[/tex]

Hence, this is the required solution.