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.
Consider the following scenario.
A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 190 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h.
Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and
represents the velocity of the wind.
Vplane =
Vwind=
Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.)
V = Vplane + wind=
Find vl. (Round your answer to one decimal place.)
|v| =
Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.)
true course
N
W
ground speed
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mi/h
vector that
The SS Bigfoot leaves Yeti Bay on a course of N37 degrees west at a speed of 50 miles per hour. After half an hour the captain determines he is 30 miles from the bay and his bearing back to the bay is S40 degrees east, round the speed to the nearest mph and express the heading as a bearing rounded to the nearest tenth of a degree
University Calculus: Early Transcendentals (3rd Edition)
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