Which of the following option correctly describes the variation of the speed υ and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F = - k υ , wh

Question

Which of the following option correctly describes the variation of the speed υ and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F = - k υ , where 'k' is a constant, on the body? (Graphs are schematic and not drown to scale)

TestHub · Accepted Answer

a = (g - α v) dv dt = g - α v ∫ 0 v dv g - α v = ∫ 0 t dt ⇒ ℓ n g - α v g = - α t v = v 0 1 - e - α t a = dv dt = v 0 α e - α t = a 0 e - α t

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