Assume that a body moving with velocity v encounters resistance of the form dv/dt = -kv 3/2

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Assume that a body moving with velocity v encounters resistance of the form dv/dt = -kv^3/2. Show that

Conclude that under a 3/2 -power resistance a body coasts only a finite distance before coming to a stop.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 03, 2023 02:52 AM

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Assume that a body moving with velocity v encounters resistance of the form dv/dt = -kv 3/2

Question:

and that v(t): = 4v0 (kt √√vo + 2)² 2 x(t) = xo + √vo 1 - 1/2 √00 (1) kt√√vo +2,

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Separating variables gives12 dv k dt v 0v gives C Then so that xt vt ...View the full answer

Differential Equations And Linear Algebra

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