---
title: "A projectile of mass \\(m\\) is launched from flat, horizontal ground with an initial speed \\(v_0\\) at an angle \\(\\theta_0\\) above the horizontal, where \\(0^\\circ < \\theta_0 < 90^\\circ\\). The projectile reaches a maximum height \\(H\\) at time \\(t_{\\text{top}}\\) and returns to the ground at time \\(2t_{\\text{top}}\\). Air resistance is negligible, and the kinetic energy of the projectile is given by \\(K = \\dfrac{1}{2}mv^2\\). Which of the following pairs of graphs best represents the projectile's kinetic energy \\(K\\) as a function of height \\(y\\) and as a function of time \\(t\\) throughout its flight?"
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url: "https://nerd-notes.com/ubq/124171/"
date_modified: "2026-09-28T13:30:52+00:00"
---

# A projectile of mass \(m\) is launched from flat, horizontal ground with an initial speed \(v_0\) at an angle \(\theta_0\) above the horizontal, where \(0^\circ < \theta_0 < 90^\circ\). The projectile reaches a maximum height \(H\) at time \(t_{\text{top}}\) and returns to the ground at time \(2t_{\text{top}}\). Air resistance is negligible, and the kinetic energy of the projectile is given by \(K = \dfrac{1}{2}mv^2\). Which of the following pairs of graphs best represents the projectile's kinetic energy \(K\) as a function of height \(y\) and as a function of time \(t\) throughout its flight?

A projectile of mass \(m\) is launched from flat, horizontal ground with an initial speed \(v_0\) at an angle \(\theta_0\) above the horizontal, where \(0^\circ < \theta_0 < 90^\circ\). The projectile reaches a maximum height \(H\) at time \(t_{\text{top}}\) and returns to the ground at time \(2t_{\text{top}}\). Air resistance is negligible, and the kinetic energy of the projectile is given by \(K = \dfrac{1}{2}mv^2\). Which of the following pairs of graphs best represents the projectile's kinetic energy \(K\) as a function of height \(y\) and as a function of time \(t\) throughout its flight?

- **A.** Pair A
- **B.** Pair B
- **C.** Pair C
- **D.** Pair D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124171/*