The acceleration of a particle is given by a = −ks², where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 5 m if k = 0.1 m⁻¹s⁻² and the initial conditions at time t = 0 are s₀ = 3 m and v₀ = 10 m /s.

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-+ s, ft or m -1 1 2 3