The motion of some object is described by the equation \(x(t)=a t-b \sin (c t)\), where \(a=1.0 \mathrm{~m} / \mathrm{s}, b=2.0 \mathrm{~m}\), and \(c=4 \pi \mathrm{s}^{-1}\). This motion is being observed by four students, and measurements of the position of this object begin at time \(t=0\). Students A, B, C, and D measure every \(1.0 \mathrm{~s}\), \(0.5 \mathrm{~s}, 0. 25 \mathrm{~s}\), and \(0.1 \mathrm{~s}\), respectively. Draw four graphs of the measurements made by the four different students. Include at least ten data points in each graph. Do the four students agree on the type of motion that is taking place?