Additional ApplicationsVolcanic lava fountains Although

Chapter 3, Problem 32E

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QUESTION:

Problem 32E

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Volcanic lava fountains Although the November 1959 Kilauea Iki eruption on the island of Hawaii began with a line of fountains along the wall of the crater, activity was later confined to a single vent in the crater’s floor, which at one point shot lava 1900 ft straight into the air (a Hawaiian record). What was the lava’s exit velocity in feet per second? In miles per hour? (Hint: If is the exit velocity of a particle of lava, its height t sec later will be Begin by finding the time at which ds/dt = 0. Neglect air resistance.)

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QUESTION:

Problem 32E

Additional Applications

Volcanic lava fountains Although the November 1959 Kilauea Iki eruption on the island of Hawaii began with a line of fountains along the wall of the crater, activity was later confined to a single vent in the crater’s floor, which at one point shot lava 1900 ft straight into the air (a Hawaiian record). What was the lava’s exit velocity in feet per second? In miles per hour? (Hint: If is the exit velocity of a particle of lava, its height t sec later will be Begin by finding the time at which ds/dt = 0. Neglect air resistance.)

ANSWER:

SOLUTION

Step 1

Here, we are asked to find the exit velocity of lava in feet per second and also in miles per hour.

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