How to Calculate 3D Projectile Movement with Initial Vectors?

AI Thread Summary
To calculate 3D projectile movement with given initial position and velocity vectors, use the equation S = ut + 0.5at², where S, u, and a are vector quantities. The gravitational acceleration is set at -981, consistent with 1D calculations. Each component of motion can be expressed in orthogonal form, such as Sz = Uz * t + 0.5 Az * t² for the z-direction. The resulting path will be parabolic, but the specific equation may vary based on the chosen orthogonal vectors. Understanding these principles is essential for accurately modeling 3D projectile motion.
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
 

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