A block of inertia \(m\) is placed on an inclined plane that makes an angle \(\theta\) with the horizontal. The block is given a shove directly up the plane so that it has initial speed \(v\), and the coefficient of kinetic friction between the block and the plane surface is \(\mu_{k}\).

(a) How far up the plane does the block travel before it stops?

(b) If the coefficient of static friction between block and surface is \(\mu_{s}\), what maximum value of \(\theta\) allows the block to come to a halt somewhere on the plane and not slide back down?