You throw a \(0.52-\mathrm{kg}\) target upward at \(15 \mathrm{~m} / \mathrm{s}\). When it is at a height of \(10 \mathrm{~m}\) above the launch position and moving downward, it is struck by a \(0.323-\mathrm{kg}\) arrow going \(25 \mathrm{~m} / \mathrm{s}\) upward. Assume the interaction is instantaneous.

(a) What is the velocity of the target and arrow immediately after the collision?

(b) What is the speed of the combination right before it strikes the ground?