Frames of reference and relative velocity

AI Thread Summary
To solve the physics problem, the required velocity of the plane relative to the air must account for both the displacement to Rome and the wind's effect. The plane needs to cover a distance of 1400 km at a specific angle while facing a 75 km/h wind blowing east. The calculations involve determining the resultant velocity vector that combines the plane's speed and the wind's influence. The final answer will provide the necessary speed of the plane's motor to maintain the desired trajectory. Understanding relative velocity and vector addition is crucial for solving this problem accurately.
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:confused: I am in desperate need of help with a certian physice question I am struggling on. here's the question:

"A pilot is required to fly directly from london to rome, in 3.5hours. the displacement is 1400km [S 43degrees E]. a wind is blowing with a velocity of 75km/h [E]. what is the required velocity of the plane relative to the air."


-if anyone who knows the full solution it would be great.
 
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Reformulate the question: How fast does the plane go when it's in the air with it's motor switched off (supposed it goes with the wind and doesn't fall down)? How much speed does the motor have to "add"?
 
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