A pilot heads his jet due east. The jet has a speed of 425 mi/h relatives to the air. The wind is blowing due north with a speed of 45 mi/h. (Assume that the i vector points east, and the j vector points north.)   (a) Express the velocity of the wind as a vector in component form. (b) Express the velocity of the jet relative to the air as a vector in component form (c) Find the true velocity of the jet as a vector.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 46E
icon
Related questions
Question

A pilot heads his jet due east. The jet has a speed of 425 mi/h relatives to the air. The wind is blowing due north with a speed of 45 mi/h. (Assume that the i vector points east, and the j vector points north.)

 

(a) Express the velocity of the wind as a vector in component form.

(b) Express the velocity of the jet relative to the air as a vector in component form

(c) Find the true velocity of the jet as a vector.

(d) Find the true speed of the jet. (Round your answer to the nearest integer.)

Find the direction of the jet. (Round your answer to one decimal place.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Direction Angle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning