A small research probe of mass 150 g150\text{ g}150 g is launched vertically upwards with a velocity of 120 m s−1120\text{ m s}^{-1}120 m s−1. Immediately after launch, it collides with and becomes embedded in a stationary sensor pod of mass 350 g350\text{ g}350 g suspended just above the launcher. The combined system travels vertically upwards.
Assuming the acceleration due to gravity is constant at 1.6 m s−21.6\text{ m s}^{-2}1.6 m s−2 and air resistance is negligible, what is the maximum vertical displacement of the combined system from the point of impact?
66 m66\text{ m}66 m
410 m410\text{ m}410 m
2200 m2200\text{ m}2200 m
4500 m4500\text{ m}4500 m
