A particle moves along a straight line such that its acceleration isa= (4t^2-4) m/s^2, where t is in seconds. When t= 0 the particle is located 5 m to the left of the origin, and when t= 2 s, it is 20 m to the left of the origin. Determine the position of the particle when t= 4 s.

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A particle moves along a straight line such that its acceleration is
a= (4t^2-4) m/s^2, where t is in seconds. When t= 0 the particle is located 5 m to the left of the origin, and when t= 2 s, it is 20 m to the left of the origin. Determine the position of the particle when t= 4 s.

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