Velocity field for this system is:
V=[X^2-(y*z^1/2/t)]i-[z*y^3+(x^1/3*z^2/t^1/2)j+[-x^1/3*t^2/z*y^1/2]k
find the components of acceleration for the system.
V = X'(t) = -t^2 + 6 m/s
Implies
X(t) = -(1/3)*t^3 + 6*t
The initial position is zero in this case.
This function will initially increase (this means the object is
moving forward), then the negative force will be too strong, so the
object will start moving backwards.
calculate the maxima and minima. Graph the function X(t).
Describe the motion. Every detail.