2. A particle moves in a medium under the influence of a retarding force equal to mk(v + a?v), where k and a are constants. Show that for any value of the initial speed the particle will never move a distance greater than /2ka and that the particle comes to rest only for t → ∞.

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2. A particle moves in a medium under the influence of a retarding force equal to
mk(v +a?v), where k and a are constants. Show that for any value of the initial
speed the particle will never move a distance greater than /2ka and that the particle
comes to rest only for t →0.
Transcribed Image Text:2. A particle moves in a medium under the influence of a retarding force equal to mk(v +a?v), where k and a are constants. Show that for any value of the initial speed the particle will never move a distance greater than /2ka and that the particle comes to rest only for t →0.
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