When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by where m is the mass of the object in kilograms, g 9 8 m s 2 is the acceleration due to gravity, and k is a physical constant a A BASE ...

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When an object falling from rest encounters air resistance proportional to the square of its velocity, the

Question:

When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by kg т In ( cosh k d(t) т where m is the mass of the object in kilograms, g = 9.8 m/s² is the acceleration due to gravity, and k is a physical constant.

a. A BASE jumper (m = 75 kg) leaps from a tall cliff and performs a ten-second delay (she free-falls for 10 s and then opens her chute). How far does she fall in 10 s? Assume k = 0.2.

b. How long does it take her to fall the first 100 m? The second 100 m? What is her average velocity over each of these intervals?

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