A pilot wishes to reach a city 600.0 km away in a direction of 15°S of W in two hours. If there is a wind of 70 km/h blowing at 10° W of S. What must be the heading and air speed of the plane? Using Cosine and sine law.
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- A plane flies through wind that blows with a speed of 150 km/hr in the direction N 60° W. The plane has air speed of 500 km/hr and headed in the direction N 40° E. Determine the actual speed and direction of the plane.A drone flies at a speed of 15 m/s in a direction of N 10°W. A 6 m/s wind is blowing from W 50°S. Determine the drone's resulting velocity.An airplane has an air speed of 267 miles per hour and a compass heading of 140°. A steady wind of 54 miles per hour is blowing in the direction of 183°. What is the plane's true speed relative to the ground? What is its compass heading relative to the ground? W. 270° ... The groundspeed is miles per hour. (Round to the nearest integer as needed.) 270 240 300 320 072 N, 0° 340 1 opz 081 091 S, 180° 09 90 1 100 120 140 E, 90°
- A radar station sends a signal to a ship which is located a distance 13.8 kilometers from the station at bearing 136° clockwise from the north. At the same moment, a helicopter is at a horizontal range of 19.6 kilometers, at bearing 146° clockwise from the north, with an elevation of 2.56 kilometers. Let east be the î direction, north be the ĵ direction, and up be the direction. a) What If? The ship begins to sink at a rate of 5.50 m/s. Write the position vector (in km) of the ship relative to the helicopter as a function of time as the ship sinks. Assume that the helicopter remains hovering at its initial position and that the sinking rate remains the same even after the ship sinks under the surface.A rescue boat is on their way to respond to a distress call. The distress call is located 25 km [E]. The boat has a speed in still water of 60.0 km/h. If the water current is flowing at 10.0 km/h [N35°E] a) Along what heading should the boat point? b) How long does it take to reach the distress call?A novice pilot sets a plane's controls, thinking that the plane will fly at 2.50 x 102km/h to the north. If the wind blows at 75km/h towards the southeast, what is the plane's resultant velocity? Use graphical techniques.
- A ship travels on a N 50° E course. The ship travels until it is due north of a port which is 10 nautical miles due east of the port from which the ship originated. How far did the ship travel?A plane is capable of flying 180 km/h in still air. The pilot, takes off from an airfield and heads due north according to the plane's compass. After 30 minutes of flight time, Captain notices that, due to the wind, the plane has actually travelled 80 km at an angle of N5°E. (You may assume that the wind velocity remains constant through the entire question.) a) What is the wind velocity? b) In what direction should the pilot have headed to reach the intended destination (due North) ○ ) If the original destination was 300km due N from her original starting point, what heading should Captain take now to adjust for the oversight and reach her destination? d) How much time did Captain waste because of this oversight?A plane traveling 500 mph in the direction of 120° from the horizontal, encounters a wind of 80 mph in the direction of 45° from the horizontal. What is the resultant speed and direction of the plane?
- An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.6 km, but when the snow clears, he discovers that he actually traveled 7.8 km at 50° north of due east. (a) How far and (b) in what direction must he now travel to reach base camp?A pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with respect to the ground, Vpg? (A) 473.4 km/h (B) 315.6 km/h (C) 392.8 km/h 552.3 km/h 157.8 km/h (D) (E)A plane flies at a speed of 360 mph on a bearing of S45°E. Relative to the ground, the plane's speed is measured as 335 mph with a true bearing of S35°E. Round answers to the nearest whole unit.