How to Calculate 3D Projectile Movement with Initial Vectors?

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wraithseeker
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How would you do it if you were given initial x y z components of the object known as position vector and velocity vector of the object.

Gravity is -981 in my case.
 
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the same that would be for 1D

taking time as parameter(t)

S=ut+0.5at*t
where S,u,a are vector quantities
so now writting in orthogonal for
Sz=Uz *t + 0.5 Az *t*t
Sz=component in zdirection
similiarly the rest of others

now the path would be parabolic but u might not necceserly get quaderatic eq.
because eq. depend upon ur choice of orthogonal vectors