---
title: "An object travels horizontally to the right with a constant velocity vector \\(\\vec{v}_0\\) as it passes over an inclined plane that makes an angle \\(\\theta\\) with the horizontal. A tilted Cartesian coordinate system is defined such that the \\(+x’\\)-axis is parallel to the incline and directed up the incline, and the \\(+y’\\)-axis is perpendicular to the incline and directed away from the incline surface. Which of the following vector diagrams correctly represents the components of \\(\\vec{v}_0\\) resolved along the \\(x’\\) and \\(y’\\) axes?"
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url: "https://nerd-notes.com/ubq/120529/"
date_modified: "2026-08-23T04:39:31+00:00"
---

# An object travels horizontally to the right with a constant velocity vector \(\vec{v}_0\) as it passes over an inclined plane that makes an angle \(\theta\) with the horizontal. A tilted Cartesian coordinate system is defined such that the \(+x’\)-axis is parallel to the incline and directed up the incline, and the \(+y’\)-axis is perpendicular to the incline and directed away from the incline surface. Which of the following vector diagrams correctly represents the components of \(\vec{v}_0\) resolved along the \(x’\) and \(y’\) axes?

An object travels horizontally to the right with a constant velocity vector \(\vec{v}_0\) as it passes over an inclined plane that makes an angle \(\theta\) with the horizontal. A tilted Cartesian coordinate system is defined such that the \(+x'\)-axis is parallel to the incline and directed up the incline, and the \(+y'\)-axis is perpendicular to the incline and directed away from the incline surface. Which of the following vector diagrams correctly represents the components of \(\vec{v}_0\) resolved along the \(x'\) and \(y'\) axes?

![A right triangle represents an inclined plane with a base on a horizontal surface and an incline surface rising to the right at an angle labeled \theta. Above the incline, a single solid horizontal arrow labeled \vec{v}_0 points to the right. A set of perpendicular coordinate axes is shown near the incline: a dashed axis labeled x' is aligned parallel to the surface of the incline pointing up and to the right, and a dashed axis labeled y' is aligned perpendicular to the surface of the incline pointing up and to the left. A small square right-angle symbol sits between the x' and y' axes. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459970-cmHKV6.jpg)

- **A.** Parallel component of magnitude \(v_0\sin\theta\) in the \(+x'\) direction; perpendicular component of magnitude \(v_0\cos\theta\) in the \(-y'\) direction.
- **B.** Parallel component of magnitude \(v_0\cos\theta\) in the \(+x'\) direction; perpendicular component of magnitude \(v_0\sin\theta\) in the \(-y'\) direction.
- **C.** Parallel component of magnitude \(v_0\cos\theta\) in the \(+x'\) direction; perpendicular component of magnitude \(v_0\sin\theta\) in the \(+y'\) direction.
- **D.** Parallel component of magnitude \(v_0\cos\theta\) in the \(-x'\) direction; perpendicular component of magnitude \(v_0\sin\theta\) in the \(-y'\) direction.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120529/*