A jet is flying through a wind that is blowing with a speed of 55 mi/h in the direction N 30° E (see the figure). The jet has a speed of 770 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E.. (a) Express the velocity of the wind as a vector in component form. 55 55/3 2' 2 (b) Express the velocity of the jet relative to the air as a vector in component form. 770 770 √2 √2 (c) Find the true velocity of the jet as a vector. (Round your answer to two decimal places.) (510.97, 496.84) x (d) Find the true speed of the jet. (Round your answer to the nearest integer.) 798.92 1x mi/h Find the direction of the jet. (Round your answer to the nearest integer.)

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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.