A particle initially at the origin of an \(x y\) coordinate system and having an initial velocity of \((40 \mathrm{~m} / \mathrm{s}) \hat{i}\) experiences a constant acceleration of \(\vec{a}=a_{x} \hat{i}+a_{y} \hat{\jmath}\), with \(a_{x}=-1.0 \mathrm{~m} / \mathrm{s}^{2}\) and \(a_{y}=-0.50 \mathrm{~m} / \mathrm{s}^{2}\).

(a) What is the maximum \(x\) coordinate of the particle's motion? \((b)\) What is its velocity when it reaches this position?

(c) What is its \(y\) coordinate at this instant?