A remotely controlled helicopter is heading vertically upward when you attempt to land it. Its height is represented by \(y(t)=p+q t-r t^{2}\), where \(p=20.0 \mathrm{~m}\), \(q=5.0 \mathrm{~m} / \mathrm{s}\), and \(r=5.0 \mathrm{~m} / \mathrm{s}^{2}\).

(a) Draw a graph of the motion from \(t=0\) to \(t=2 \mathrm{~s}\).

(b) What was the initial position of the helicopter?

(c) What is the maximum height that it reaches before descending?

(d) At what time does the helicopter land? \(\cdot\)\(\cdot\)