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Solve the equation mx" + Bx = mg for a(t), given that you step off the bridge-no jumping, no diving! Stepping off means r(0) = -100, x' (0) = 0, You may use mg = 160, 6 = 1, and g = 32. %3D Use the solution from Problem 1 to compute the length of time t1 that you freefall (the time it takes to go the natural length of the cord: 100 feet).

Solve the equation mx" + Bx = mg for a(t), given that you step off the bridge-no jumping, no diving! Stepping off means r(0) = -100, x' (0) = 0, You may use mg = 160, 6 = 1, and g = 32. %3D Use the solution from Problem 1 to compute the length of time t1 that you freefall (the time it takes to go the natural length of the cord: 100 feet).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Description:** Solve the equation \( mx'' + \beta x' = mg \) for \( x(t) \), given that you step off the bridge—no jumping, no diving! Stepping off means \( x(0) = -100, x'(0) = 0 \). You may use \( mg = 160, \beta = 1, \) and \( g = 32 \). **Instructions:** Use the solution from Problem 1 to compute the length of time \( t_1 \) that you freefall (the time it takes to go the natural length of the cord: 100 feet).
Transcribed Image Text:**Problem Description:** Solve the equation \( mx'' + \beta x' = mg \) for \( x(t) \), given that you step off the bridge—no jumping, no diving! Stepping off means \( x(0) = -100, x'(0) = 0 \). You may use \( mg = 160, \beta = 1, \) and \( g = 32 \). **Instructions:** Use the solution from Problem 1 to compute the length of time \( t_1 \) that you freefall (the time it takes to go the natural length of the cord: 100 feet).
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