A typical raindrop is much more massive than a mosquito and falling much faster

Question

A typical raindrop is much more massive than a mosquito and falling much faster than a mosquito flies. How does a mos quito 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.

Because a raindrop is "soft" and deformable, the collision duration is a relatively long 8.0 ms. What is the mosquito's average acceleration, in g's, during the collision? The peak acceleration is roughly twice the value you found, but the mosquito's rigid exoskeleton allows it to survive accelerations of this magnitude. In contrast, humans cannot survive an acceleration of more than about 10 g.

Explanation / Answer

I guess there is a first question, with the one you can find V1. I will solve the question with this as an incognite.

a = v1 - vo/t

a = v1 - 0/8*10-3

Put the value of V1.Then divide it by 9.8 and you will have the solution.

a = (v1 - 0/8*10-3)/9.8

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