---
title: "Two identical pucks, labeled 1 and 2, each of mass \\(m\\), slide on a horizontal, frictionless surface. Puck 1 moves in the \\(+x\\)-direction with an initial velocity of \\(\\vec{v}_0 = (4\\text{ m/s})\\hat{i}\\) toward Puck 2, which is initially at rest at the origin. The pucks undergo an off-center collision, after which Puck 1 moves with a velocity of \\(\\vec{v}_1 = (2\\text{ m/s})\\hat{i} + (2\\text{ m/s})\\hat{j}\\). Which of the following vector diagrams best represents the velocity vector \\(\\vec{v}_2\\) of Puck 2 immediately after the collision?"
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url: "https://nerd-notes.com/ubq/120859/"
date_modified: "2026-08-23T04:43:42+00:00"
---

# Two identical pucks, labeled 1 and 2, each of mass \(m\), slide on a horizontal, frictionless surface. Puck 1 moves in the \(+x\)-direction with an initial velocity of \(\vec{v}_0 = (4\text{ m/s})\hat{i}\) toward Puck 2, which is initially at rest at the origin. The pucks undergo an off-center collision, after which Puck 1 moves with a velocity of \(\vec{v}_1 = (2\text{ m/s})\hat{i} + (2\text{ m/s})\hat{j}\). Which of the following vector diagrams best represents the velocity vector \(\vec{v}_2\) of Puck 2 immediately after the collision?

Two identical pucks, labeled 1 and 2, each of mass \(m\), slide on a horizontal, frictionless surface. Puck 1 moves in the \(+x\)-direction with an initial velocity of \(\vec{v}_0 = (4\text{ m/s})\hat{i}\) toward Puck 2, which is initially at rest at the origin. The pucks undergo an off-center collision, after which Puck 1 moves with a velocity of \(\vec{v}_1 = (2\text{ m/s})\hat{i} + (2\text{ m/s})\hat{j}\). Which of the following vector diagrams best represents the velocity vector \(\vec{v}_2\) of Puck 2 immediately after the collision?

![A top-down view of a horizontal coordinate plane with an x-axis and a y-axis intersecting at an origin labeled (0,0). A solid circle labeled 1 is located on the negative x-axis with a single horizontal arrow extending to the right from its center toward the origin, labeled \(\vec{v}_0\). A solid circle labeled 2 is centered at the origin. In the upper-right quadrant, an arrow labeled \(\vec{v}_1\) starts at the origin and points into the first quadrant at a 45-degree angle above the positive x-axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460220-jJBAR0.jpg)

- **A.** Vector \(\vec{v}_2\) with components \(v_{2x} = +2\text{ m/s}\) and \(v_{2y} = -2\text{ m/s}\)
- **B.** Vector \(\vec{v}_2\) with components \(v_{2x} = +2\text{ m/s}\) and \(v_{2y} = +2\text{ m/s}\)
- **C.** Vector \(\vec{v}_2\) with components \(v_{2x} = -2\text{ m/s}\) and \(v_{2y} = -2\text{ m/s}\)
- **D.** Vector \(\vec{v}_2\) with components \(v_{2x} = 0\text{ m/s}\) and \(v_{2y} = -2\text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120859/*