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.A jet takes off bearing N 32° W and flies 6 miles, and then makes a right turn (90°) and flies 20 miles farther. If the control tower operator wanted to locate the plane, what bearing would he use? Round to the nearest degree.
- 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 plane is flying at 325 km/h [E 50° N] relative to the ground when the wind velocity is 65 km/h [W 35° S]. Calculate the velocity of the plane relative to the air.a typhoon is moving at 55 km/h in the direction 40° south of east. find the horizontal and vertical components of its velocity
- ere to search The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it makes a drastic turn at the 5-minute mark to ß-35° east of south. After nearly ten minutes, the speed drops to zero and the drone stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below. (a) How far is the drone from you? (b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south. 20 Ri Velocity v (m/s) 15 10 E 100 WEST 200 300 Bo East of South 400 500 -71 E 600 *** 34°F Clear S 6:21 1/21/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 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?