A 3.00 kg box that is several hundred meters above theearth’s surface is suspended from the end of a short vertical rope of negligiblemass. A time-dependent upward force is applied to the upper endof the rope and results in a tension in the rope of T1t2 = (36.0 N/s)t.The box is at rest at t = 0. The only forces on the box are the tension inthe rope and gravity. What is the velocity of the box at (i) t = 1.00 s and (ii) t = 3.00 s?

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A 3.00 kg box that is several hundred meters above the
earth’s surface 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 results in a tension in the rope of T1t2 = (36.0 N/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 (i) t = 1.00 s
and (ii) t = 3.00 s?

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