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The Acceleration Function of a Body Moving Along a Coordinate a(t)=7cos2t8sin2tt0a ( t ) = - 7 \cos 2 t - 8 \sin 2 t \quad t \geq 0

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The acceleration function of a body moving along a coordinate line is a(t)=7cos2t8sin2tt0a ( t ) = - 7 \cos 2 t - 8 \sin 2 t \quad t \geq 0 Find its velocity and position functions at any time tt if it is located at the origin and has an initial velocity of 4 m/sec4 \mathrm {~m} / \mathrm { sec } .


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