The tape is now wound back into the drum at angular rate ω(t). with what velocity will the end of the tape move? (note that our drawing specifies that a positive derivative of x(t) implies motion away from the drum. be careful with your signs! the fact that the tape is being wound back into the drum implies that ω(t)< 0, and for the end of the tape to move closer to the drum, it must be the case that v(t)< 0.