---
title: "How fast is this plane traveling? (What is the magnitude of the plane’s velocity?) What is the angle \\( \\Theta \\)? The plane’s velocity components are \\( 120 \\) \\( \\text{m/s} \\) in the positive \\( x \\)-direction and \\( 80 \\) \\( \\text{m/s} \\) in the positive \\( y \\)-direction, as shown in the diagram."
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url: "https://nerd-notes.com/ubq/114158/"
date_modified: "2026-08-18T02:37:53+00:00"
---

# How fast is this plane traveling? (What is the magnitude of the plane’s velocity?) What is the angle \( \Theta \)? The plane’s velocity components are \( 120 \) \( \text{m/s} \) in the positive \( x \)-direction and \( 80 \) \( \text{m/s} \) in the positive \( y \)-direction, as shown in the diagram.

How fast is this plane traveling? (What is the magnitude of the plane’s velocity?) What is the angle \( \Theta \)? The plane’s velocity components are \( 120 \) \( \text{m/s} \) in the positive \( x \)-direction and \( 80 \) \( \text{m/s} \) in the positive \( y \)-direction, as shown in the diagram.

![A right-hand Cartesian coordinate system with the origin at the tail of a small airplane icon. The horizontal ( x )-axis is a thick arrow pointing right. Along this axis, starting at the origin, a bold right-pointing arrow of medium length is drawn and labeled "(120) (text{m/s})" directly underneath it. From the tip of this horizontal component arrow, a bold vertical arrow of shorter length points straight up and is labeled "(80) (text{m/s})" to the right of the arrow. From the origin, a dashed or lightly drawn diagonal arrow extends into the first quadrant, ending above and to the right of the tip of the vertical component; this represents the resultant velocity. At the origin, a small curved arc spans between the horizontal component and the diagonal resultant arrow, and next to the arc is the label "(theta)". The ( y )-axis is a thick vertical line upward through the origin with its arrowhead pointing up and the letter "y" above it. Relative lengths: the horizontal component arrow is roughly 1.5 times the length of the vertical component arrow. All arrowheads are clearly marked, and the airplane graphic is on the ( x )-axis pointing rightward.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-physical-setup-114158-1782701428-lcOhdI.jpg)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114158/*