A cannon ball is fired at a wall located 450 meters away (the diagram is not to scale) The initial horizontal component of the balls velocity is 90 m/s and its initial angle is 24 degrees. What is the maximum height the ball reaches?

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Chapter1: Units, Trigonometry. And Vectors
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A cannonball is fired at a wall located 450 meters away (the diagram is not to scale). The initial horizontal component of the ball's velocity is 90 m/s and its initial angle is 24 degrees. What is the maximum height the ball reaches?

**Options:**
- 164 m
- 41 m
- 246 m
- 82 m

**Diagram Explanation:**
- The diagram illustrates a cannon aimed at a brick wall. The distance between the cannon and the wall is labeled as 450 meters.
- The cannonball is depicted with an initial trajectory forming an angle (θ) of 24 degrees with the horizontal axis.
- The horizontal component of velocity is labeled as 90 m/s.
- An upward vector (3u) suggests the vertical component of the velocity.
- The maximum height (H) of the cannonball is indicated vertically in relation to the baseline.

The question asks for the calculation of the maximum height (H) the cannonball reaches based on the given parameters.
Transcribed Image Text:A cannonball is fired at a wall located 450 meters away (the diagram is not to scale). The initial horizontal component of the ball's velocity is 90 m/s and its initial angle is 24 degrees. What is the maximum height the ball reaches? **Options:** - 164 m - 41 m - 246 m - 82 m **Diagram Explanation:** - The diagram illustrates a cannon aimed at a brick wall. The distance between the cannon and the wall is labeled as 450 meters. - The cannonball is depicted with an initial trajectory forming an angle (θ) of 24 degrees with the horizontal axis. - The horizontal component of velocity is labeled as 90 m/s. - An upward vector (3u) suggests the vertical component of the velocity. - The maximum height (H) of the cannonball is indicated vertically in relation to the baseline. The question asks for the calculation of the maximum height (H) the cannonball reaches based on the given parameters.
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