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A ball is thrown from the top of a building, height H, at angle theta. It lands at B after 4 seconds. Determine the horizontal distance X if theta is 30 degrees and H=20m

A ball is thrown from the top of a building, height H, at angle theta. It lands at B after 4 seconds. Determine the horizontal distance X if theta is 30 degrees and H=20m

College Physics
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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A ball is thrown from the top of a building, height H, at angle theta. It lands at B after 4 seconds. Determine the horizontal distance X if theta is 30 degrees and H=20m

The image depicts a diagram commonly used to illustrate the concept of projectile motion in physics. In this scenario, a projectile is launched from point A on a vertical ledge with height \(H\). ### Key Elements: - **Ledge Height (\(H\)):** - The vertical distance from point A to the ground. - **Launch Angle (\(\theta\)):** - The angle at which the projectile is launched relative to the horizontal. - **Initial Launch Point (A):** - The point from which the projectile is released. - **Final Landing Point (B):** - The point where the projectile lands on the horizontal ground. - **Horizontal Distance (\(X\)):** - The horizontal distance from the base of the ledge directly beneath point A to point B. ### Motion Path: - **Trajectory (Dashed Line):** - The curved path followed by the projectile as it moves from point A to point B, shaped due to the influence of gravity. This setup exemplifies the basic principles of projectile motion, where the projectile's path is determined by its initial velocity, launch angle, and the effects of gravity.
Transcribed Image Text:The image depicts a diagram commonly used to illustrate the concept of projectile motion in physics. In this scenario, a projectile is launched from point A on a vertical ledge with height \(H\). ### Key Elements: - **Ledge Height (\(H\)):** - The vertical distance from point A to the ground. - **Launch Angle (\(\theta\)):** - The angle at which the projectile is launched relative to the horizontal. - **Initial Launch Point (A):** - The point from which the projectile is released. - **Final Landing Point (B):** - The point where the projectile lands on the horizontal ground. - **Horizontal Distance (\(X\)):** - The horizontal distance from the base of the ledge directly beneath point A to point B. ### Motion Path: - **Trajectory (Dashed Line):** - The curved path followed by the projectile as it moves from point A to point B, shaped due to the influence of gravity. This setup exemplifies the basic principles of projectile motion, where the projectile's path is determined by its initial velocity, launch angle, and the effects of gravity.
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