Question

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(1 pt) A plane is heading due west: its nose points towards the west direction, but its trajectory on the ground deviates from the west direction due to a sideways component of the wind. The plane is also climbing at the rate of 120 km/h (height increase per unit time). If the plane's airspeed is 550 km/h and there is a wind blowing 90 km/h to the northwest, what is the ground speed of the plane? Use V to denote the plane's speed vector with respect to Earth(i.e., the 3D velocity vector measured by the control tower's radars), Vair to denote the air speed vector (i.e. the speed with respect to air measured by the pilots), and W to denote the wind speed vector. Start by writing a relationship between these three velocity vectors, and write their components (known and unknown). Use the available information to determine the unknowns. Hints: The ground velocity vector is the projection onto the Earth's surface of the plane's velocity vector V. You can picture the problem as a plane moving within an air volume, that is itself in translation with respect to Earth because of the wind. ground speed- Enter your answer as a NUMBER (not a vector), using exact values or at least 4 decimal place accuracy

Answer 1

turth X. You go tolh af thus (-536.RS 企 ti2o 2- vclo. 벙 km 609453 km/ん 603. 8 m ,ト ん1m