A 0.20-kg particle moves along the x axis under the influence of a stationary object. The potential energy in SI unit is given by U(x) = 80.0x + 20.0x^2 where x is the position of the particle.
a) If the particle has a speed of 5.0 m/s when it is at x = 2.0 m, what was its speed at the origin.
b) If the total mechanical energy is 60.0 J, find the turning points of the motion.
c) When the particle is at x = 1.0m find the magnitude and direction of its acceleration.