Question

10.) An Alaskan rescue plane traveling 37 m/s drops a package of emergency rations from a height of 136 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s2. What is the vertical component of the velocity just before it hits? (Choose upward as the positive vertical direction)

Answer in units of m/s.

Answer 1

The vertical component of velocity right before the impact is

$$v_y=\sqrt{2gh}=\sqrt{2·9.8·136}=52\text{ m/s}.$$