A particle moves along a path defined by the equation $r = 2t^2\hat{i} + (3t - 1)\hat{j}$, where $r$ is in meters and $t$ is in seconds. At $t = 2$ seconds, a force $F = (4t\hat{i} + 6\hat{j})$ Newtons acts on the particle. What is the instantaneous power delivered by the force at $t = 2$ seconds?

A particle is subjected to a force $F = (3x^2 - 2x + 1)\hat{i}$ N, where $x$ is in meters. What is the work done by this force in moving the particle from $x = 0$ to $x = 2$ m?