Question

A particle of mass 2k moves along the x_axis and is attracted towards the origin pole by a force whose magnitude equals 8x. If it is initially at x =10 find the differential equations and conditions describing the motions.

Answer 1

dv/dx = a = -8x/2 = -4x
ds/dx = v = -2x^2 + c (you do not say what the initial velocity is)
s = -2/3 x^3 + cx + 10