The position of an object is given by \(x(t)=p+q t+r t^{2}\), with \(p=+0.20 \mathrm{~m}, q=-2.0 \mathrm{~m} / \mathrm{s}\), and \(r=+2.0 \mathrm{~m} / \mathrm{s}^{2}\).

(a) Draw a graph of this motion from \(t=0\) to \(t=1.2 \mathrm{~s}\).

(b) What is the displacement of the object in the interval from \(t=0\) to \(t=0.50 \mathrm{~s}\) ?

(c) What maximum distance from the origin does the object reach during the interval in part \(a\) ?