# At time t = 0, a particle is located at the point ​(8​,4​,7​). It travels in a straight line to the point ​(3​,9​,6​), has speed 3 at ​(8​,4​,7​) and constant acceleration negative 5i + 5 j - k. Find an equation for the position vector r​(t) of the particle at time t.

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At time t = 0, a particle is located at the point ​(8​,4​,7​). It travels in a straight line to the point ​(3​,9​,6​), has speed 3 at ​(8​,4​,7​) and constant acceleration negative 5i + 5 j - k. Find an equation for the position vector r​(t) of the particle at time t.

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Step 1

we know that particle has  constant accleration vector  5i+5j-k

now we know that

Step 2

integrate both side

Step 3

we know that at t=0 we have position 8i+4j+7k and sp...

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MathCalculus

### Integration 