The velocity (meters/second) of an object at time t (seconds) is governed by the
Chapter 1, Problem 51(choose chapter or problem)
The velocity (meters/second) of an object at time t (seconds) is governed by the differential equation dv dt + kv = 80kekt with initial conditions v(0) = 20, dv dt (0) = 2. (a) How is the velocity of the object changing at t = 0? (b) Determine the value of the constant k.(c) Determine the velocity of the object at time t.(d) Is there a finite time t > 0 at which the object isat rest? Explain.(e) What happens to the velocity of the object ast ?
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