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A particle of mass m is subject to a force F (v) = bv^2. The initial postion is at x = 0 and the particle

A particle of mass m is subject to a force F (v) = bv^2. The initial postion is at x = 0 and the particle is initially at rest. Find x(t).

A particle of mass m is subject to a force F (x) = kx with k > 0. The initial position is x0 and the initial speed is zero. Find x(t).

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