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A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = a/12, /8, n/6, a/4, and 9x/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(x/12) = ft x(x/8) = ft x(x/6) = ft x(x/4) = ft x(9x/32) = ft (b) What is the velocity of the mass when t = 3x/16 s? ft/s In which direction is the mass heading at this instant? O upward O downward (c) At what times does the mass pass through the equilibrium position? , n = 0, 1, 2, ...

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = a/12, /8, n/6, a/4, and 9x/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(x/12) = ft x(x/8) = ft x(x/6) = ft x(x/4) = ft x(9x/32) = ft (b) What is the velocity of the mass when t = 3x/16 s? ft/s In which direction is the mass heading at this instant? O upward O downward (c) At what times does the mass pass through the equilibrium position? , n = 0, 1, 2, ...

Calculus: Early Transcendentals
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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A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = 1/12, a/8, n/6, n/4, and 97/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x (π/12 ) ft x(r/8) = ft x(1/6) ft %3D x(x/4) ft x(9л/32) ft (b) What is the velocity of the mass when t = 3x/16 s? ft/s In which direction is the mass heading at this instant? O upward O downward (c) At what times does the mass pass through the equilibrium position? п %3D 0, 1, 2,
Transcribed Image Text:A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = 1/12, a/8, n/6, n/4, and 97/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x (π/12 ) ft x(r/8) = ft x(1/6) ft %3D x(x/4) ft x(9л/32) ft (b) What is the velocity of the mass when t = 3x/16 s? ft/s In which direction is the mass heading at this instant? O upward O downward (c) At what times does the mass pass through the equilibrium position? п %3D 0, 1, 2,
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