II. A spring hanging from the celling vibrates up and down. Its vertical position at time t is given by f (t) 5sin (3t). (a) Find the velocity of the spring at time t. (b) What is the spring's maximum speed? (c) What is its location when it reaches its maximum speed?
II. A spring hanging from the celling vibrates up and down. Its vertical position at time t is given by f (t) 5sin (3t). (a) Find the velocity of the spring at time t. (b) What is the spring's maximum speed? (c) What is its location when it reaches its maximum speed?
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![II. A spring hanging from the ceiling vibrates up and down. Its vertical position at time t is given by
f (t) = 5sin (3t).
(a) Find the velocity of the spring at time t.
(b) What is the spring's maximum speed?
(c) What is its location when it reaches its maximum speed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff7e17ec-324c-469d-97a6-eff342ed9cc4%2F61a469ac-3d80-435b-a761-f2434f61588e%2F4252kew_processed.jpeg&w=3840&q=75)
Transcribed Image Text:II. A spring hanging from the ceiling vibrates up and down. Its vertical position at time t is given by
f (t) = 5sin (3t).
(a) Find the velocity of the spring at time t.
(b) What is the spring's maximum speed?
(c) What is its location when it reaches its maximum speed?
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