An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 79 km...
An airplane undergoes the following displacements, all at the same altitude: First, it flies 59 km in a direction 30.0° east of north. Next, it flies 58 km due south. Finally, it flies 100 km 30.0° north of west. Use components to determine how far the airplane ends up from its starting point. A. 71.5 km B. 73.0 km C. 74.4 km D. 70.1 km E. 68.7 km
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An airplane undergoes the following displacements: First, it
flies in a direction 30° east of north. Next, it flies
due south. Finally, it flies 30° north of west. Using analytical methods,
determine how far the airplane ends up from its starting point.
72 km 48 km S Kım 100 km
An airplane undergoes the following displacements, all at the same altitude: First, it flies 53.0km in a direction 30.0° east of north. Next, it flies 67.0 km due south. Finally, it flies 100km 30.0° north of west. Use components to determine how far the airplane ends up from its starting point.
Consider an airplane that has an air speed of 120 km/hr flying with its nose pointing north with a 90 km/hr cross-wind blowing from the west. Show that the ground speed of the airplane is 150 km/hr. In what direction is the net result of the plane’s vector pointing?
A particle undergoes two displacements. The first has a magnitude of 193 cm and makes an angle of 111◦ with the positive x axis. The resultant of the two displacements is 115 cm directed at an angle of 35.6 ◦ to the positive x axis. Find the magnitude of the second displacement. Answer in units of cm.
A particle undergoes two displacements. The first has a magnitude of 164 cm and makes an angle of 112.8 ◦ with the positive x axis. The resultant of the two displacements is 110 cm directed at an angle of 31.4 ◦ to the positive x axis. Find the magnitude of the second displacement. Answer in units of cm
5. According to ground-based radar, an airplane is flying 15 degrees north of west at a speed of 100. mph. The weather report states that the wind is blowing in the southeast direction, i.e., 45 degrees south of east, with a speed of 35 mph. What is the airspeed of the plane? In other words, what is the speed of the plane relative to the air? Give your answer to 2 significant figures.
2.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i-91+ 2krn, and s,-(10i + 8j-km a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b) If the hiker...
A small airplane is flying at a constant altitude with a ground speed of 75 m/s. The pilot needs to reach a point exactly 100 km north of her current location. However, there is a cross wind blowing at 20 m/s in a direction 30 degrees north of east. a. In what direction should the pilot point the plane so that she arrives at her destination as directly as possible. b. How long does it take to complete this part...
7.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...