Finding position coordinates from given force vector

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To find the position coordinates of a particle acted upon by the force vector F = xi + yj + zk, start with Newton's second law, which relates force to acceleration. The acceleration can be derived from the force divided by mass, giving a = F/m. Integrate the acceleration with respect to time to find the velocity, and then integrate the velocity to find the position coordinates. The final position vector after time t is expressed as xt^2/2m, 2yt^2/m, zt^2/2m. Detailed step-by-step calculations are essential for a complete understanding of the solution process.
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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