9702/23/O/N/21: (a) Define velocity. #9702w21p23
(b) A remote-controlled toy aircraft is flying horizontally in a wind. Fig. 3.1 shows the velocity vectors, to scale, of the wind and of the aircraft in still air. The velocity of the aircraft in still air is 42 m s–1 to the north. The velocity of the wind is 23 m s–1 in a direction of 54° east of south. Determine the magnitude of the resultant velocity of the aircraft. #ASvectorsP2
(c) The engine of the aircraft in (b) stops. The aircraft then glides towards the ground with a constant velocity at an angle θ to the horizontal, as illustrated in Fig. 3.2. The aircraft has a weight of 46 N and travels a distance of 280 m from point X to point Y. The change in gravitational potential energy of the aircraft for its movement from X to Y is 6100 J.
Assume that there is now no wind.
(i) Calculate angle θ.
(ii) Calculate the magnitude of the force acting on the aircraft due to air resistance.
#ASenergyP2 #ASfrictionP2
(d) The aircraft in (c) travels from X to Y in a time of 14 s. Fig. 3.3 shows that, as the aircraft travels from X to Y, it moves directly towards an observer who is standing on the ground. The aircraft emits sound as it travels from X to Y. The observer hears sound of frequency
450 Hz. The speed of the sound in the air is 340 m s–1. Calculate the frequency of the sound that is emitted by the aircraft.
#ASdopplerP2 #Lv2
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