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Rectilinear Kinematics with Velocity-Dependent Acceleration

Engineering Mechanics Dynamics · Engineering Dynamics — University

Course: Engineering Mechanics Dynamics Book: Engineering Dynamics — University

Question

A particle moves along a straight line with an initial velocity of $v_0 = 6$ m/s. It is subjected to a deceleration of $a = -1.5v^{1/2}$ m/s², where $v$ is in m/s. Determine (a) how far the particle travels before it stops, and (b) how much time this takes.

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