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## Homework Statement

In some amazing situations, people have survived falling large distances when the surface they land on is soft enough. During a traverse of Eiger's infamous Nordvand, mountaineer Carlos Ragone's rock anchor gave way and he plummeted 494 feet to land in snow. Amazingly, he suffered only a few bruises and a wrenched shoulder. Assuming that his impact left a hole in the snow 3.5 ft deep, estimate his average acceleration as he slowed to a stop (that is while he was impacting the snow). Assume a coordinate system where down is positive.

## The Attempt at a Solution

I split the region into two parts, one where the final velocity would be the initial for the second region. I have a total distance of 497ft(150.6m) for the first region an initial velocity of 0m/s and a final velocity of 53.9m/s where the time to fall over 497ft(150.6 m) is 5.5 seconds. now I have to find, for the second region where the body hits the snow over and falls through the snow for a distance of 3.5ft(1.1m), the average acceleration. So I need V_{F}V

_{0}t

_{f}and t

_{i}I have initial velocity as my final for the first region because that's where he impacted the snow to be 53.9m/s and my final velocity as 0m/s because he is at rest. The initial time I have as the final time for the first region, which is T

_{i}= 5.5 seconds and I need to find the T

_{f}( the time it took for him to fall through the snow and I'm a bit stuck here.

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