A typical raindrop is much more massive than a mosquito and falling much faster than a mosquito flies. How does a mosquito survive the impact? Recent research has found that the collision of a falling raindrop with a mosquito is a perfectly inelastic collision. That is$,$ the mosquito is "swept up$"$ by the raindrop and ends up traveling along with the raindrop. Once the relative speed between the mosquito and the raindrop is zero, the mosquito is able to detach itself from the drop and fly away.

Part A

A hovering mosquito is hit by a raindrop that is $50$ times as massive and falling at $8\mathrm{.}6$ m$/$sm$/$s $,$ a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic?

Express your answer with the appropriate units.