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Find the Velocity and Position Vectors of an Object with Acceleration

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Short Answer

Find the velocity and position vectors of an object with acceleration a(t)=4i72j+(72t+4)k\mathbf { a } ( t ) = 4 \mathbf { i } - 72 \mathbf { j } + ( 72 t + 4 ) \mathbf { k } , initial velocity v(0)=i+k\mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { k } , and initial position r(0)=j+3k\mathbf { r } ( 0 ) = \mathbf { j } + 3 \mathbf { k } .


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