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Rectilinear Kinematics with Velocity-Dependent Deceleration

Engineering Mechanics Dynamics · Engineering Mechanics – Dynamics — University

Course: Engineering Mechanics Dynamics Book: Engineering Mechanics – Dynamics — University

Question

A particle is moving with a velocity of $v_0$ when $s = 0$ and $t = 0$. If it is subjected to a deceleration of $a = -kv^3$, where $k$ is a constant, determine its velocity and position as functions of time.

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