Answer:
Step-by-step explanation:
First, we integrate the acceleration fiction to obtain the velocity function.
The acceleration function, 3i - j - k, in vector form is
So,
Where is a constant vector. To obtain , knowing that the particle has speed 4 at (5, 2, 7) at t = 0.
= 4
The particle travels in a straight line to (8, 1, 6), and (8, 1, 6) - (5, 2, 7) =
There is a constant, s, such that
So,
Therefore,
and
Next, we find the position function by integrating the velocity function.
Where is a constant vector. To obtain , knowing that the particle is at (5, 2, 7) at t = 0.