Question: Suppose that the force acting on a particle of mass m is given by F = kvx in which k is a positive constant. If

Suppose that the force acting on a particle of mass m is given by

          F = kvx

in which k is a positive constant. If the particle passes through the origin (x = 0) at time t = 0 with velocity v0, find

  • a)(4 points) the velocity dependence on position,
  • b)(3 points) the position, x, as a function of t,
  • c)(2 points) the time the particle needed to reach infinity.

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