A particle, initially at rest, moves along the x-axis so that its acceleration at any time...

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A particle, initially at rest, moves along the x-axisso that its acceleration at any time t ≥ 0 is given by a(t) =12t2−4 . The position of the particle when t=1 is x(1)=3.

Write an expression for the position x(t) ofthe particle at any time t ≥ 0.

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