Acceleration: $\vec{a} = \dfrac{\vec{F}}{m} = 2t^2\,\hat{i} + \dfrac{4t}{3}\,\hat{j}$

Velocity: $\vec{v} = \displaystyle\int_0^3 \vec{a}\,dt = \left[\dfrac{2t^3}{3}\,\hat{i} + \dfrac{2t^2}{3}\,\hat{j}\right]_0^3 = \dfrac{2(27)}{3}\,\hat{i} + \dfrac{2(9)}{3}\,\hat{j} = \mathbf{18\hat{i} + 6\hat{j}}$

The Libertarian Theory represents the polar opposite of Authoritarianism. Its strengths are compelling — competitive exposure of alternative viewpoints, media as a government watchdog, full editorial autonomy for journalists, no censorship, accountability only to law. However, the textbook identifies a key weakness: “Such an extensive freedom is also a problem as all people have the right to speak and receive information freely, but no one takes responsibility of the wrong doings. The ethics in multicultural or pluralistic societies vary from place to place; hence there is always complaint against the media of each other's society.” This weakness motivated the development of the Social Responsibility Theory, which retains press freedom but adds a framework of ethical obligation and self-regulation. Pure libertarianism struggles in pluralistic societies where different communities have different values and different ideas about what constitutes responsible communication.