A helicopter has a speed in calm air of 170 kmh-¹ and it's travelling on abearing of 120° relative to the air. The wind is blowing at a speed of30 kmh from the south-west.Take unit vectors i to point east and j to point north.(a) Express the original velocity b of the helicopter relative to the air andthe velocity w of the wind in component form, giving the numericalvalues in km h¹ to two decimal places.(b) Express the resultant velocity v of the helicopter in component form,giving numerical values in km h¹ to two decimal places.(c) Hence find the magnitude and direction of the resultant velocity v ofthe helicopter, giving the magnitude in km h¹ to one decimal place andthe direction as a bearing to the nearest degree.

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Answered: A helicopter has a speed in calm air of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.65 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i (b) Number i (c) Number 12.48783 3.748 -45 Units km Units km Units degrees
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A radar station sends a signal to a ship which is located a distance 13.0 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 148° clockwise from the north, with an elevation of 2.59 kilometers. Let east be the ↑ direction, north be the ĵ direction, and up be the k direction. (a) What is the displacement vector (in km) from the helicopter to the ship? (Express your answer in vector form. Do not include units in your answer.) D = (b) What is the distance (in km) between the helicopter and ship? km (c) 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. (Use the following as necessary: t. Do not include units in…
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