Kinematics via Separable ODEs: Position and Acceleration from a Velocity Law

Differential Equations Differential Equations · Differential Equations — University

Question

The velocity of a particle traveling along a straight line is $v = v_0 - ks$, where $k$ is a positive constant. If $s = 0$ when $t = 0$, determine the position $s(t)$ and acceleration $a(t)$ of the particle as functions of time.

Step-by-step video solution

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