(Solution) - The acceleration of a particle is defined by the -(2025 Original AI-Free Solution)

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The acceleration of a particle is defined by the relation a=0.6(1 ? kv), where k is a constant. Knowing that at t = 0 the particle starts from rest at x = 6 m and that v = 6 m/s when t = 20 s, determine
(a) The constant k,
(b) The position of the particle when v = 7.5 m/s,
(c) The maximum velocity of the particle.