### Problem Statement: An educational question regarding vector components is displayed as follows:**Question:**An jet is flying on a bearing of 338° at 420 miles per hour. Find the component form of the velocity of the jet. Round your decimal to two places.**Solution:**To solve for the component form of the velocity of the jet, we need to break down the given velocity into its Cartesian components. The bearing of 338° is measured clockwise from the north. 1. **Convert the Bearing:** The bearing of 338° can be converted to standard position angle from the positive x-axis (East): - Standard position angle = 450° - bearing = 450° - 338° = 112°.2. **Velocity Components (Vx and Vy):** - Vx = V * cos(112°) - Vy = V * sin(112°)3. **Calculate the Components:** Given V = 420 mph: - Vx = 420 * cos(112°) - Vy = 420 * sin(112°)4. **Evaluate the Trigonometric Functions:** Using trigonometric values: - cos(112°) ≈ -0.3746 - sin(112°) ≈ 0.92725. **Final Calculations:** - Vx = 420 * (-0.3746) ≈ -157.53 mph - Vy = 420 * (0.9272) ≈ 389.42 mphThus, the component form of the velocity is approximately:\[ \mathbf{V} = (-157.53 \, \text{mph}, 389.42 \, \text{mph}) \]**Answer:**The component form of the velocity of the jet is approximately $(-157.53, 389.42)$ when rounded to two decimal places.

Velocity = 420 miles/hr. Angle = 38°

Answered: An jet is flying on a bearing of 38° at…

An jet is flying on a bearing of 38° at 420 miles per hour. Find the component form of the velocity of the Jet. Round your decimal to two places.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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