A bug on a windowsill walks at \(10 \mathrm{~mm} / \mathrm{s}\) from left to right for \(120 \mathrm{~mm}\), slows to \(6.0 \mathrm{~mm} / \mathrm{s}\) and conrinues rightward for another \(3.0 \mathrm{~s}\), stops for \(4.0 \mathrm{~s}\), and then walks back to its starting position at \(8.0 \mathrm{~mm} / \mathrm{s}\). Draw a graph (a) of the \(x\) coordinate of the bug's displacement as a function of time and \((b)\) of the \(x\) component of its velocity as a function of time.