A 2 kg mass passes through the origin (x=0) with initial velocity -3m/s to the left on a horizontal frictionless table. A horizontal force F = (x^5 + 9x^2)î acts on the mass. Assume this is the only force acting on the mass.
a) Find the values of x which the mass has zero acceleration.
b) Determine whether or not the mass will turn around and begin moving to the right. If it does, find the value of the x where the mass turns around. If the mass does not turn around, either explain why no or show that x goes to minus infinity.