A circuit junction connects four branches, as shown in the diagram. Currents in three of the branches are given as functions of time \(t\) for \(t \ge 0\):

- Branch 1: \(I_1(t) = (3.0 \text{ A/s})t\) directed into the junction
- Branch 2: \(I_2(t) = 4.0 \text{ A}\) directed into the junction
- Branch 3: \(I_3(t) = (1.0 \text{ A/s})t + 1.0 \text{ A}\) directed away from the junction

The fourth branch connects the junction to an initially uncharged capacitor. At time \(t = 2.0 \text{ s}\), what is the instantaneous net current entering the capacitor, and what is the total charge that has accumulated on the capacitor between \(t = 0\) and \(t = 2.0 \text{ s}\)?