**Title**: Understanding Velocity vs. Time Graphs for Projectile Motion**Description**: In this educational illustration, we explore the velocity vs. time graphs for a ball thrown off a cliff, assuming air resistance is negligible. The motion is analyzed in two directions: horizontal and vertical.**Text on Image**: "A ball is thrown off a cliff (Air resistance may be neglected). Sketch the velocity-vs-time graphs for horizontal & vertical directions."**Explanation of Graphs**:1. **Horizontal Direction (\(v_x\))**: - The horizontal velocity (\(v_x\)) of the ball remains constant as there is no horizontal acceleration (gravity acts vertically). The graph shows a horizontal line, indicating uniform horizontal velocity over time.2. **Vertical Direction (\(v_y\))**: - The vertical velocity (\(v_y\)) graph starts with an initial positive value if the ball is thrown upwards initially or a negative value if thrown downward. The velocity increases negatively (i.e., the ball accelerates downward) due to gravity. The line slopes downward, showing increasing magnitude of velocity in the negative direction as time progresses.This setup and analysis use basic principles of projectile motion in physics, helping students understand the independence of horizontal and vertical motions.

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Answered: A ball is thrown off cliff (Air…

A ball is thrown off cliff (Air resistance may be neglected) Sketch the velocity-us-time graphs for horizontal & vertical directions vy a

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Title**: Understanding Velocity vs. Time Graphs for Projectile Motion

**Description**: In this educational illustration, we explore the velocity vs. time graphs for a ball thrown off a cliff, assuming air resistance is negligible. The motion is analyzed in two directions: horizontal and vertical.

**Text on Image**:
"A ball is thrown off a cliff (Air resistance may be neglected). Sketch the velocity-vs-time graphs for horizontal & vertical directions."

**Explanation of Graphs**:

1. **Horizontal Direction (\(v_x\))**:
- The horizontal velocity (\(v_x\)) of the ball remains constant as there is no horizontal acceleration (gravity acts vertically). The graph shows a horizontal line, indicating uniform horizontal velocity over time.

2. **Vertical Direction (\(v_y\))**:
- The vertical velocity (\(v_y\)) graph starts with an initial positive value if the ball is thrown upwards initially or a negative value if thrown downward. The velocity increases negatively (i.e., the ball accelerates downward) due to gravity. The line slopes downward, showing increasing magnitude of velocity in the negative direction as time progresses.

This setup and analysis use basic principles of projectile motion in physics, helping students understand the independence of horizontal and vertical motions.

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