Physics Problem - Elastic Potential Energy - Springs - U(x) and Speed- Calculus-Based Problem

A certain spring found not to obey Hooke’s law exerts a restoring force Fx(x) = -αx - βx^2 if it is stretched or compressed, where α = 60.0 N/m and β = 18.0 N/m^2 . The mass of the spring is negligible.
(a) Calculate the potential-energy function U(x) for this spring. Let U = 0 when x = 0.
(b) An object with mass 0.900 kg on a frictionless, horizontal surface is attached to this spring, pulled a distance 1.00 m to the right (the +x-direction) to stretch the spring, and released. What is the speed of the object when it is 0.50 m to the right of the x = 0 equilibrium position?


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