What is the significance of V(0) = -j in finding position vector?

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SUMMARY

The discussion centers on the significance of the initial velocity vector V(0) = -j in determining the position vector in vector calculus. The user initially questioned the derivation of V(0) = -j + C, where C represents a constant vector. The conclusion reached is that the initial conditions provided, specifically v(0) = i and r(0) = j, lead to the understanding that the negative sign in front of j is essential for maintaining the correct directionality in the vector space.

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Miike012
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Problem: Find position vector given
a(t) [ look in paint doc]
v(0) = i,
r(0) = j

I highlighted a portion in the paint doc that I have a question for. Why V(0) = -j + C? = i?
Where did they get the -j??

Thank you.
 

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