The acceleration of a particle is given by a = −kt², where a is in meters per second squared and the time t is in seconds. If the initial velocity of the particle at t = 0 is v₀ = 12 m/s and the particle takes 6 seconds to reverse direction, determine the magnitude and units of the constant k. What is the net displacement of the particle over the same 6-second interval of motion?

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