---
title: "A projectile is launched from horizontal ground with an initial velocity having a positive horizontal component \\(v_{0x}\\) and a positive vertical component \\(v_{0y}\\). The projectile travels under the influence of uniform downward gravitational acceleration \\(g\\) with negligible air resistance until returning to ground level. Which of the following best describes the graph of the vertical component of velocity \\(v_y\\) as a function of horizontal position \\(x\\) from launch to landing?"
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url: "https://nerd-notes.com/ubq/120470/"
date_modified: "2026-08-23T04:38:59+00:00"
---

# A projectile is launched from horizontal ground with an initial velocity having a positive horizontal component \(v_{0x}\) and a positive vertical component \(v_{0y}\). The projectile travels under the influence of uniform downward gravitational acceleration \(g\) with negligible air resistance until returning to ground level. Which of the following best describes the graph of the vertical component of velocity \(v_y\) as a function of horizontal position \(x\) from launch to landing?

A projectile is launched from horizontal ground with an initial velocity having a positive horizontal component \(v_{0x}\) and a positive vertical component \(v_{0y}\). The projectile travels under the influence of uniform downward gravitational acceleration \(g\) with negligible air resistance until returning to ground level. Which of the following best describes the graph of the vertical component of velocity \(v_y\) as a function of horizontal position \(x\) from launch to landing?

- **A.** A downward-opening parabola starting at \(v_{0y}\), reaching a peak at half the range, and ending at \(-v_{0y}\)
- **B.** A concave-upward curve starting at \(v_{0y}\) that asymptotically approaches a constant negative velocity
- **C.** A straight line with a constant negative slope starting at \(v_{0y}\) and crossing zero at half the horizontal range
- **D.** A concave-downward curve starting at \(v_{0y}\) with an increasingly steep downward slope that terminates at zero

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120470/*