PhysicsA particle of mass m is at rest at the origin at time t=0. It is subjected to a force F(t)=F0e-bt in the x direction. Its speed v(t) is depicted by which of the following curves ?

A particle of mass m is at rest at the origin at time t=0. It is subjected to a force F(t)=F0e-bt in the x direction. Its speed v(t) is depicted by which of the following curves ?

  1. A
  2. B
  3. C
  4. D

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    Solution:

    F=ma=F0e-bt

    dvdt=F0 me-bt

    0vdv=F0 m0te-bt

    v=F0 me-bt-b0t

    v=F0mb1-e-bt

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