Solve the problem.The acceleration due to gravity g (in meters per second per second) at a height h meters above sea level is given by  where 6.374 × 106 is the radius of Earth in meters. Death Valley in California is 86 m below sea level.a) Find the value of g(h) at Death Valley to four decimal places.b) Compare the value in (a) to the value of g(h) at sea level.

What will be an ideal response?


a)g(-86) ? 9.8211 m/sec2
b) g(0) ? 9.8208 m/sec2

Mathematics

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Solve the problem.The velocity of a body of mass m falling from rest under the action of gravity is given by the equation  where k is a constant that depends on the body's aerodynamic properties and the density of the air, g is the gravitational constant, and t is the number of seconds into the fall. Find the limiting velocity, v, of a 150 lb. skydiver (mg = 150) when k = 0.006.

A. 0.01 ft/sec B. There is no limiting speed. C. 158.11 ft/sec D. 50.00 ft/sec

Mathematics

Find the vertices and foci of the ellipse. +  = 1

A. Vertices: (0, ±5); Foci: (0, ±3) B. Vertices: (±4, 0); Foci: ( ±3, 0) C. Vertices: (0, ±5); Foci: (0, ±4) D. Vertices: (±5, 0); Foci: ( ±4, 0)

Mathematics

Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.-1

A.
B.
C.
D.

Mathematics

Answer the question or complete the sentence to make a true statement.Under what condition will the sum of a positive number and a negative number be negative?

What will be an ideal response?

Mathematics