A spring of spring constant \(k\) is attached to a support at the bottom of a ramp that makes an angle \(\theta\) with the horizontal. A block of inertia \(m\) is pressed against the free end of the spring until the spring is compressed a distance \(d\) from its relaxed length. Call this position \(\mathrm{A}\). The block is then released and moves up the ramp until coming to rest at position B. The surface is rough from position A for a distance \(2 d\) up the ramp, and over this distance the coefficient of kinetic friction for the two surfaces is \(\mu\). Friction is negligible elsewhere. What is the distance from A to B?