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
11th Edition
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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?

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.
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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