A damped single-degree-of-freedom system has a mass \(m=2\), a spring of stiffness \(k=50\), and a damper with \(c=2\). A forcing function \(F(t)\), whose magnitude is indicated in the table below, acts on the mass for \(1 \mathrm{~s}\). Find the response of the system by using the piecewise linear interpolation method described in Section 4.9 using Program5.m.

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Time (ti) F(ti) 0.0 -8.0 0.1 -12.0 0.2 -15.0 0.3 -13.0 0.4 -11.0 0.5 -7.0 0.6 -4.0 0.7 3.0 0.8 10.0 0.9 15.0 1.0 18.0