Question: In physics, it is established that the acceleration due to gravity, g (in m/sec 2 ),at a height h meters above sea level is given

In physics, it is established that the acceleration due to gravity, g (in m/sec2),at a height h meters above sea level is given by

3.99 × 1014 + h)² 8(h) (6.374 × 106


where 6.374 × 106 is the radius of Earth in meters.

(a) What is the acceleration due to gravity at sea level?

(b) The Willis Tower in Chicago, Illinois, is 443 meters tall. What is the acceleration due to gravity at the top of the Willis Tower?

(c) The peak of Mount Everest is 8848 meters above sea level. What is the acceleration due to gravity on the peak of Mount Everest?

(d) Find the horizontal asymptote of g(h).

(e) Solve g(h) = 0. How do you interpret your answer?

3.99 1014 + h) 8(h) (6.374 106

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