Finding position coordinates from given force vector

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Sreekuttan Jayakumar
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1. A particle of mass m initially at rest at the origin is acted upon by a force (vector) F = xi+yj+zk. Its position vector after t seconds areI need instructions on solving this
 
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Answer is : xt^2/2m, 2yt^2/m, zt^2/2m
But I really need instructions on solving this
 

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