6. A volcano in Hawaii is erupting and is spewing our rocks and debris at a speed of 880 ft/sec at an angle of 60° from the horizontal from a height of 4091 feet. Will a rock thrown from the volcano hit a cow a half mile away?

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Chapter1: Units, Trigonometry. And Vectors
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### Problem 6:

A volcano in Hawaii is erupting and spewing out rocks and debris at a speed of 880 feet per second at an angle of 60° from the horizontal, from a height of 4091 feet. Will a rock thrown from the volcano hit a cow half a mile away?

### Diagram Explanation:

The diagram illustrates a volcano on the left side, from which a projectile (rock) is being ejected. The projectile follows a curved, parabolic path. On the right side of the diagram, there is a drawing of a cow positioned where the rock might potentially land. The cow is depicted in a humorous manner at a distance that represents half a mile from the volcano.

The problem involves analyzing the trajectory of the rock to determine if it will reach the cow's position. This requires understanding the concepts of projectile motion, including initial speed, launch angle, and the effects of gravity on the rock's path.
Transcribed Image Text:### Problem 6: A volcano in Hawaii is erupting and spewing out rocks and debris at a speed of 880 feet per second at an angle of 60° from the horizontal, from a height of 4091 feet. Will a rock thrown from the volcano hit a cow half a mile away? ### Diagram Explanation: The diagram illustrates a volcano on the left side, from which a projectile (rock) is being ejected. The projectile follows a curved, parabolic path. On the right side of the diagram, there is a drawing of a cow positioned where the rock might potentially land. The cow is depicted in a humorous manner at a distance that represents half a mile from the volcano. The problem involves analyzing the trajectory of the rock to determine if it will reach the cow's position. This requires understanding the concepts of projectile motion, including initial speed, launch angle, and the effects of gravity on the rock's path.
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