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Divers Knife

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Physics Forces question?

A sky diver of mass 55 kg can slow herself to a constant speed of 100 km/h by orienting her body horizontally, looking straight down with arms and legs extended. In this position, she presents the maximum cross-sectional area and thus maximizes the air-drag force on her.

The magnitude of force on the diver is 539.55 N
If drag force is equal to bV^2, then b is 0.699

At some instant she quickly flips into a "knife" position, orienting her body vertically with her arms straight down. Suppose this reduces the value of b to 55 percent of the value in Parts (a) and (b). What is her acceleration at the instant she achieves the "knife" position?

Explanation would be appreciated, but even just the answer would be a godsend.

The sum of the forces = mass x acceleration

Forces = mg - bV^2 (mg is the force accelerating her due to gravity)

so her acceleration = g - (bV^2)/m

if she is at 100Km/hr at that instant her acceleration will be

a = 9.81 - (.699*.55)*27.7^2/55
a = 4.45m/s^2

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