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Figure 1)A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 50.0 m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g= 9.80 m/s2. Given that the projectile lands at a distance D = 120 m from the cliff, as shown in the figure, find the initial speed of the projectile, v0.

Figure 1)A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 50.0 m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g= 9.80 m/s2. Given that the projectile lands at a distance D = 120 m from the cliff, as shown in the figure, find the initial speed of the projectile, v0.

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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(Figure 1)A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 50.0 m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g= 9.80 m/s2.

Given that the projectile lands at a distance D = 120 m from the cliff, as shown in the figure, find the initial speed of the projectile, v0.

The image depicts a projectile motion scenario. It shows an object projected horizontally off a cliff. **Diagram Explanation:** - **Axes:** - The vertical axis (\( \hat{y} \)) represents height. - The horizontal axis (\( \hat{x} \)) represents distance. - **Cliff Height (\( H \))**: - The cliff has a height denoted by \( H \). This is the initial vertical position of the object. - **Distance (\( D \))**: - The horizontal distance covered by the projectile before it reaches the ground is denoted by \( D \). - **Path of Projectile:** - The dashed line indicates the trajectory of the object, showing a parabolic curve typical of projectile motion. - **Key Points:** - \( (0, H) \): Starting point at the top of the cliff. - \( D/2 \): Midpoint in the horizontal distance. - \( D \): The point where the projectile hits the ground. This setup is commonly used to study the principles of projectile motion, such as the influence of gravity and initial velocity on the path of an object.
Transcribed Image Text:The image depicts a projectile motion scenario. It shows an object projected horizontally off a cliff. **Diagram Explanation:** - **Axes:** - The vertical axis (\( \hat{y} \)) represents height. - The horizontal axis (\( \hat{x} \)) represents distance. - **Cliff Height (\( H \))**: - The cliff has a height denoted by \( H \). This is the initial vertical position of the object. - **Distance (\( D \))**: - The horizontal distance covered by the projectile before it reaches the ground is denoted by \( D \). - **Path of Projectile:** - The dashed line indicates the trajectory of the object, showing a parabolic curve typical of projectile motion. - **Key Points:** - \( (0, H) \): Starting point at the top of the cliff. - \( D/2 \): Midpoint in the horizontal distance. - \( D \): The point where the projectile hits the ground. This setup is commonly used to study the principles of projectile motion, such as the influence of gravity and initial velocity on the path of an object.
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