Interpretation of derivatives. (HW) 6 points A spring hanging from the ceiling vibrates up and down. Its vertical position at time t is given by f...

7. Interpretation of derivatives. (HW) 6 points A spring hanging from the ceiling vibrates up and down. Its vertical position at time t is given by f (t) = 4 sin 3t. Find the velocity of the spring at time t. What is the spring"s maximum speed? What is its location when it reaches its maximum speed?