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A particle's velocity is described by the function v_x=kt2, where v_x is in m/s, t is...

A particle's velocity is described by the function v_x=kt2, where v_x is in m/s, t is in s, and k is a constant. The particle's position at t_0=0s is x_0 = -6.00 m . At t_1 = 2.00 s , the particle is at x_1 = 8.40 m .

Determine the value of the constant k.

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