6. An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to thehorizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of S47°E. Find a vector that represents theresultant velocity of the plane relative to the point of takeoff. Let i point east, j point north, and k point up.(Show work)

Answered: Image /qna-images/answer/0d48d878-a546-4c95-8d93-dafd6822d105.jpg

Answered: 6. An airplane is taking off headed due…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec. at an angle of 86° to the starting line. The position of the person throwing the bowling ball can be represented by the point (0,0). Where is the ball after 8 seconds? O (0.1,1.4) O (0.6,8.0) O (0.8,11.2) O (11.2,0.8) A ball is thrown with a slingshot at a velocity of 95 ft./sec. at an angle 25° above the ground from a height of 6 ft. Approximately how long does it take for the ball to hit the ground? Acceleration due to gravity is 32 ft./s2. O2.65 seconds O2.51 seconds 05.45 seconds 5.38 seconds
/ 12. A cruise ship has a speed (with respect to the water) of 26 knots, and sails on a heading of S40°E. The current has a velocity of 12 knots, S10°W. a) Determine the velocity of the ship relative to the earth. b) After spending the day in port, the ship heads to a new island that is N40°E of its current position. What direction must the captain steer to maintain this direction? c) The new island is 600 nautical miles away. How long will it take to sail there?
5. At the instant of take-off, a long jumper has a forward (horizontal) velocity of 15m/sec and a vertical velocity of 10m/sec. Find the angle of take-off (relative to the horizontal) and the magnitude of the resultant velocity vector. 9ME
The minute hand of a wall clock measures 24 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the magnitude and angle from a quarter after the hour to half past, the magnitude and angle for the next half hour, and the magnitude and angle for the hour after that? (Use a coordinate system with the origin at the clock center, +x rightward toward the "3:00" position, and +y upward toward the "12:00" position.) (a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)

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