The compass of an aircraft indicates that it is headed due north, and its airspeed indicator shows that it is moving through the air at 120 miles per hour (that is, the velocity of the aircraft relative to the air is 120 mi hr -1 ). If there is a wind of 50 miles per hour from west to east (the velocity of the air is 50 mi hr -1 east), (a) what is the velocity of the aircraft relative to the ground? (b) in what direction should the pilot head in order to travel due north relative to the ground?

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Q: Needs Complete solution with 100 % accuracy don't use chat gpt or ai plz plz plz plz.

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Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.