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. Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2?
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. Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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.
Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2?

Transcribed Image Text:The image depicts a diagram of projectile motion. It features the following elements:
1. **Axes**:
- The vertical axis (\(\hat{y}\)) represents height or vertical displacement.
- The horizontal axis (\(\hat{x}\)) represents horizontal displacement.
2. **Initial Position**:
- A figure is positioned at the origin \((0, 0)\) at the top of a vertical height \(H\).
3. **Projectile Path**:
- A dashed curve illustrates the path of the projectile, showing its trajectory as it moves through the air.
- The projectile is launched horizontally from the height \(H\).
4. **Landing Point**:
- The horizontal distance \(D\) marks where the projectile lands on the horizontal axis.
- The midpoint of the trajectory is labeled as \(D/2\).
This diagram is useful for visualizing concepts of projectile motion, including the effects of gravity on an object launched horizontally from an elevated height.
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