Momentum Sails Past the Minimum

A single parameter $w$ is trained on the loss

$J(w) = (2w - 6)^2$

using gradient descent with momentum, in the accumulation form

$v_t = \beta\, v_{t-1} + \nabla J(w_{t-1}), \qquad w_t = w_{t-1} - \eta\, v_t$

where $\nabla J(w_{t-1})$ is the derivative of $J$ evaluated at the current weight $w_{t-1}$.

The settings are

Exactly three updates are performed. What is the value of $w_3$?

Round your answer to 2 decimal places.