How to Calculate 3D Projectile Movement with Initial Vectors?

[wraithseeker]

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.

 

[sadhu]

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

 

[tomcue]

To calculate the 3D projectile movement using the given initial position and velocity vectors, I would first use the equations of motion to determine the object's position at any given time. These equations take into account the object's initial position, velocity, and acceleration (in this case, gravity) to calculate its position at a specific time.

Next, I would use vectors to represent the object's position and velocity. The position vector would have components for the object's x, y, and z coordinates, while the velocity vector would have components for the object's x, y, and z velocities.

Using these vectors, I would then apply the laws of motion, specifically the principles of vector addition and subtraction, to determine the object's position and velocity at any given time. By continuously updating the position and velocity vectors, I could plot the object's trajectory in 3D space.

Furthermore, to account for the effect of gravity, I would use the acceleration due to gravity (-981 in this case) to adjust the object's velocity vector in the y direction. This would result in a parabolic trajectory, as the object is affected by both the initial velocity and the constant acceleration of gravity.

In summary, by using the equations of motion, vectors, and the principles of vector addition and subtraction, I would be able to accurately calculate and visualize the 3D projectile movement of the object given its initial position and velocity vectors.