It is a consequence of Newton's law of gravitation that near the surface of any planet, the distance D fallen by a rock in time t is given by D = ct^2 . That is, distance fallen is proportional to the square of the time, no matter what planet one may be on. But the value of c depends on the mass of the planet. For Earth, if time is measured in seconds and distance in feet, the value of c is 16. Suppose a rock is falling near the surface of a planet. What is the comparison in distance fallen from 6 to 12 seconds into the drop? a) The distance fallen in 12 seconds is 108.00 times the distance fallen in 6 seconds. b) The distance fallen in 12 seconds is 4.00 times the distance fallen in 6 seconds. c) The distance fallen in 12 seconds is 2.00 times the distance fallen in 6 seconds. d) The distance fallen in 12 seconds is 1.41 times the distance fallen in 6 seconds.

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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It is a consequence of Newton's law of gravitation that near the surface of any planet, the distance D fallen by a rock in time t is given by D = ct^2 . That is, distance fallen is proportional to the square of the time, no matter what planet one may be on. But the value of c depends on the mass of the planet. For Earth, if time is measured in seconds and distance in feet, the value of c is 16. Suppose a rock is falling near the surface of a planet.
What is the comparison in distance fallen from 6 to 12 seconds into the drop?
a) The distance fallen in 12 seconds is 108.00 times the distance fallen in 6 seconds.
b) The distance fallen in 12 seconds is 4.00 times the distance fallen in 6 seconds.
c) The distance fallen in 12 seconds is 2.00 times the distance fallen in 6 seconds.
d) The distance fallen in 12 seconds is 1.41 times the distance fallen in 6 seconds.

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