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An airline, all of whose planes fly with an airspeed of 300
km/h, serves three cities,...
A model airplane competition has the following rules: Each plane must fly to a point 1...
A model airplane competition has the following rules: Each plane must fly to a point 1 km from the start and then back again. The point km winner is the plane with the shortest round-trip time. The contestants are free to launch their planes in any direction, so long as the plane travels exactly 1 km out and then returns. On the day of the race, a steady wind blows from the north at 8.5 m/s. Your plane can maintain...
The pilot of a light plane heads due North at an airspeed of 240 km/h. A...
The pilot of a light plane heads due North at an airspeed of 240 km/h. A wind is blowing 90 km/h at an angle of 30 degrees E of N relative to the ground. A) What is the plane’s velocity with respect to the ground (give both magnitude and direction) if the pilot does not correct her course? B) In order to fly north (relative to the ground) , the pilot must fly into the wind at some angle. If...
7. The compass in a plane indicates that it is headed due east. Its airspeed indicator...
7. The compass in a plane indicates that it is headed due east. Its airspeed indicator reads 215 km/h. (Airspeed is speed relative to the air.) A steady wind of 65.0 km/h is blowing due north (a) What is the velocity of the plane with respect to the ground? (b) If the pilot wishes to fly due east, what must be the heading? Answer l (a) v = 225km/h; θ= 16.8°; (b). U /h; θ 17.60. - 205km
The pilot of an airplane with a speed of 280 km/hr relative to the air, wishes...
The pilot of an airplane with a speed of 280 km/hr relative to the air, wishes to fly due east from the city A to city B. If a 35 km/hr wind blows from the south to the north, and the distance between the cities is 1, 500 km, A) what is the velocity ( magnitude and direction) of the plane relative to the ground, B) how long will the trip take?
An airplane pilot sets a compass course due west and maintains an airspeed of 214 km/h...
An airplane pilot sets a compass course due west and maintains an airspeed of 214 km/h . After flying for a time of 0.470 h , she finds herself over a town a distance 119 km west and a distance 13 km south of her starting point. a. Find the magnitude of the wind velocity. b. Find the direction of the wind velocity c. If the wind velocity is 37 km/h due south, in what direction should the pilot set...
Plane flies 75 m/s Now imagine that you want to fly this 500+500 = 1000 km...
Plane flies 75 m/s Now imagine that you want to fly this 500+500 = 1000 km round trip along a north-south line, and the wind is 50 m/s per second from the west. At what angle will you have to align the plane so that it will move along a north-south line even though there is a cross wind of 50 m/s? If you are standing on the ground watching the plane fly with that cross-wind, the plane will look...
2. An airplane is heading due north at an airspeed of 950 km/h, but there is a constant wind blowing from the northeast at 100 km/h. We will use vectors to work out how far off course the plane i...
2. An airplane is heading due north at an airspeed of 950 km/h, but there is a constant wind blowing from the northeast at 100 km/h. We will use vectors to work out how far off course the plane is blown, and what its ground speed is. (a) Write down a vector, p, that represents the intended flight path of the plane in one hou. (b) Write down a vector, w, that represents the movement of a particle caught in...
Airline pilots who fly round trips know that their round-trip travel time increases if there is...
Airline pilots who fly round trips know that their round-trip travel time increases if there is any wind. To see this, suppose that an airliner cruises at speed v relative to the air. PART A For a flight whose one-way distance is d, write an expression for the interval Δtcalm needed for a round trip on a windless day. Ignore any time spent on the ground, and assume that the airliner flies at cruising speed for essentially the whole trip....
5. An aeroplane intends to fly to a city that is 200 km due north of...
5. An aeroplane intends to fly to a city that is 200 km due north of its current location. The plane can fly at 250 km/h in still air. A 100 km/h wind is blowing to the north west direction. The pilot forgets to take into account the wind and he heads due north. The pilot estimates his travel time without considering the wind. What is this time? Give your answer in hours. b) In what direction does the plane...
An airplane cruises at 880 km/h relative to the air. It is flying from Denver, Colorado,...
An airplane cruises at 880 km/h relative to the air. It is flying from Denver, Colorado, due west to Reno, Nevada, a distance of 1200 km, and will then return. There is a steady 70 km/h wind blowing to the east. What is the difference in flight time between the two legs of the trip?
A model airplane competition has the following rules: Each plane must fly to a point 1 km from the start and then back again. The point km winner is the plane with the shortest round-trip time. The contestants are free to launch their planes in any direction, so long as the plane travels exactly 1 km out and then returns. On the day of the race, a steady wind blows from the north at 8.5 m/s. Your plane can maintain...
7. The compass in a plane indicates that it is headed due east. Its airspeed indicator reads 215 km/h. (Airspeed is speed relative to the air.) A steady wind of 65.0 km/h is blowing due north (a) What is the velocity of the plane with respect to the ground? (b) If the pilot wishes to fly due east, what must be the heading? Answer l (a) v = 225km/h; θ= 16.8°; (b). U /h; θ 17.60. - 205km
2. An airplane is heading due north at an airspeed of 950 km/h, but there is a constant wind blowing from the northeast at 100 km/h. We will use vectors to work out how far off course the plane is blown, and what its ground speed is. (a) Write down a vector, p, that represents the intended flight path of the plane in one hou. (b) Write down a vector, w, that represents the movement of a particle caught in...
5. An aeroplane intends to fly to a city that is 200 km due north of its current location. The plane can fly at 250 km/h in still air. A 100 km/h wind is blowing to the north west direction. The pilot forgets to take into account the wind and he heads due north. The pilot estimates his travel time without considering the wind. What is this time? Give your answer in hours. b) In what direction does the plane...
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