two birds are flying along in 3-space. At time t, the first bird is at the point (x,y,z) on the line
To determine the position of the first bird in 3-space at time t, we need to know its initial position and the equation of its motion.
Let's assume that the initial position of the first bird is given as (x0, y0, z0) and the equation of its motion is represented by the parametric equations:
x = f(t)
y = g(t)
z = h(t)
Here, f(t), g(t), and h(t) are the functions that describe the motion of the first bird in the x, y, and z directions, respectively.
If we know the specific functions f(t), g(t), and h(t), we can substitute the value of t into these equations to find the corresponding position of the first bird in 3-space.
However, if we are only given the initial position (x0, y0, z0) and no specific information about the equation of motion, we cannot determine the position of the first bird at time t.
To find the position of the second bird or any relationship between the two birds, we would need additional information about their motion, such as their velocities or any constraints they have in their flight path.