Volcanic lava fountains Although the November 1959 Kilauea Iki eruption on the island of Hawaii began with a line of foun-tains 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 y0 is the exit velocity of a particle of lava, its height t sec later will be s = v0 t - 16t2 ft. Begin by finding the time at which ds/dt = 0. Neglect air resistance.)
Volcanic lava fountains Although the November 1959 Kilauea Iki eruption on the island of Hawaii began with a line of foun-tains 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 y0 is the exit velocity of a particle of lava, its height t sec later will be s = v0 t - 16t2 ft. Begin by finding the time at which ds/dt = 0. Neglect air resistance.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Volcanic lava fountains Although the November 1959 Kilauea Iki eruption on the island of Hawaii began with a line of foun-tains 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 y0 is the exit velocity of a particle of lava, its height t sec later will be s = v0 t - 16t2 ft. Begin by finding the time at which ds/dt = 0. Neglect air resistance.)
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