The wind is blowing at 50 mph in a direction 30 degrees north of east. The pilot is flying a plane with an airspeed of 400 mph (i.e., the speed of the plane relative to the wind). What direction does the pilot need to point the nose of the aircraft in order to fly the plane due North relative to the ground? Round to the nearest degree. What is the speed of the plane relative to the ground? Round to the nearest mile per hour (mph). note: Drawing necessary for this question.

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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.