(Solved): Falls resulting in hip fractures are a major cause of injury and even death to the elderly. Typical ...

Falls resulting in hip fractures are a major cause of injury and even death to the elderly. Typically, the hip's speed at impact is about $2.00\mathrm{m}/\mathrm{s}$. If this can be reduced to $1.30\mathrm{m}/\mathrm{s}$ or less, the hip will usually not fracture. One way to do this is by wearing elastic hip pads. If a typical pad is $5.0\mathrm{cm}$ thick and compresses by $1.8\mathrm{cm}$ during the impact of a fall, what acceleration does the hip undergo to reduce its speed to $1.3\mathrm{m}/\mathrm{s}$ ? Express your answer in meters per second squared. What acceleration (in $g^{?}$ s) does the hip undergo to reduce its speed to $1.3\mathrm{m}/\mathrm{s}$ ? Express your answer as a multiple of acceleration due to gravity $g$. The acceleration you found in Part A may seem like a rather large acceleration, but to fully assess its effects on the hip, calculate how long it lasts. Express your answer in seconds.