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A spaceship departs from (0, 0, 0) with an initial velocity of (0, 0, 1) traveling through space with acceleration given by

A spaceship departs from (0, 0, 0) with an initial velocity of (0, 0, 1) traveling through space with acceleration given by

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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3. A spaceship departs from (0, 0, 0) with an initial velocity of (0, 0, 1) traveling through space with acceleration given by a(t) = (2,−b/(t+1)², e¹), where b is a constant real number. What is the value of b that allows the spaceship to arrive at the space station located at (100, ½ln(11) — 5, e¹0 − 1) at time t = 10? A. 1/2 B. -1/2 C. 2 D. -1 E. -2
Transcribed Image Text:3. A spaceship departs from (0, 0, 0) with an initial velocity of (0, 0, 1) traveling through space with acceleration given by a(t) = (2,−b/(t+1)², e¹), where b is a constant real number. What is the value of b that allows the spaceship to arrive at the space station located at (100, ½ln(11) — 5, e¹0 − 1) at time t = 10? A. 1/2 B. -1/2 C. 2 D. -1 E. -2
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