A plane travels with an air speed of 400 knots at S 20 ° E and encounters a wind of 50 knots acting in the direction of S 30 ° w Rounding to the nearest whole unit, a. Express the velocity of the plane p relative to the air in terms of i and j. b. Express the velocity of the wind w in terms of i and j. c. Find the true speed (ground speed) and bearing of the plane.
A plane travels with an air speed of 400 knots at S 20 ° E and encounters a wind of 50 knots acting in the direction of S 30 ° w Rounding to the nearest whole unit, a. Express the velocity of the plane p relative to the air in terms of i and j. b. Express the velocity of the wind w in terms of i and j. c. Find the true speed (ground speed) and bearing of the plane.
Solution Summary: The author explains how the velocity of the plane can be expressed as papprox 137i-376j.
A plane travels with an air speed of
400
knots at S
20
°
E and encounters a wind of
50
knots acting in the direction of S
30
°
w Rounding to the nearest whole unit,
a. Express the velocity of the plane p relative to the air in terms of i and j.
b. Express the velocity of the wind w in terms of i and j.
c. Find the true speed (ground speed) and bearing of the plane.
A plane takes off from an airport and flies to town A, located
d1 = 210 km
from the airport in the direction
20.0° north of east.
The plane then flies to town B, located
d2 = 220 km
at 30.0° west of north
from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.) Please use Significant Figures
/ 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?
University Calculus: Early Transcendentals (3rd Edition)
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