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?

Engineering

Physics

Newtons Second Law of Motion

Question

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?

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$a = \frac{f_{0} e^{- bt}}{m}$

$\int_{0}^{v} dv = \int_{0}^{t} \frac{f_{0}}{m} e^{- bt} dt$

$v = \frac{f_{0}}{mb} (1 - e^{- bt})$