v(t) = -2vt – 4, where t is in seconds and v(t) is in meters per second. If the position of the object is 4 meters after t = 5 seconds, find the position function, s(t). Show your work.
v(t) = -2vt – 4, where t is in seconds and v(t) is in meters per second. If the position of the object is 4 meters after t = 5 seconds, find the position function, s(t). Show your work.
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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Suppose that the velocity of an object is given by
the function
![Given \( v(t) = -2\sqrt{t} - 4 \),
where \( t \) is in seconds and \( v(t) \) is in meters per second. If the position of the object is 4 meters after \( t = 5 \) seconds, find the position function, \( s(t) \). Show your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa76ca773-6365-4023-b039-0c85ac5e548a%2F107ca3df-f947-4297-bc43-16808c6c9d57%2Fjtnrgmh_processed.png&w=3840&q=75)
Transcribed Image Text:Given \( v(t) = -2\sqrt{t} - 4 \),
where \( t \) is in seconds and \( v(t) \) is in meters per second. If the position of the object is 4 meters after \( t = 5 \) seconds, find the position function, \( s(t) \). Show your work.
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