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A 3.20kg box that is several hundred meters above the surface of the earth is suspended from the end of a short vertical rope of negligible mass. A time-dependent upward force is applied to the upper end of the rope, and this results in a tension in the rope of T(t)=(36N/s)t. The box is at rest at t=0 . The only forces on the box are the tension in the rope and gravity. What is the velocity of the box at 1.00 ? What is the velocity of the box at 3.00 ? What is the maximum distance that the box descends below its initial position? At what value of does the box return to its initial position?

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