Ajet airliner moving initially at 612 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 362 mph in a direction 15◦ north of east. what is the new speed of the aircraft with respect to the ground? answer in units of mph.

966.22 mph

Explanation:

Velocity of plane with respect to wind (Vp,w)= 612 mph east

velocity of wind with respect to ground, (Vw,g) = 362 mph at 15° North of

east

Write the velocities in vector form

Use the formula for the relative velocity

Where, V(p,w) is the velocity of plane with respect to wind

V(p,g) is the velocity of plane with respect to ground

V(w,g) is the velocity of wind with respect to ground

So,

Magnitude of velocity of lane with respect to ground

V(p,g) = 966.22 mph

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