A particle of mass m moving in one dimension is subject to the force F(x) = x2 where the constant c> 0. The particle is released at rest from x = a. (a) Derive a formula for the time it takes for the particle to reach the origin, X = 0. Express your answer in terms of m, a, c and numerical constants. You may use WolframAlpha to evaluate any integrals. (b) Use the above result to find how long it would take Earth to fall into the Sun if Earth were somehow stopped in its orbit. Express your answer in days.