The kinetic energy, in joules, of an object with mass 9 kilograms traveling at a speed of v meters per second is given by the function K, where K(v) = 9 ⁄ 2 v 2 . Which of the following is the best interpretation of K(34) = 5,202 in this context?

Question

Accepted Answer

Choice A is correct. It’s given that the kinetic energy, in joules, of an object with a mass of 9 kilograms traveling at a speed of v meters per second is given by the function K, where K(v) = 9 ⁄ 2 v 2 . It follows that in the equation K(34) = 5,202, 34 is the value of v, or the speed of the object, in meters per second, and 5,202 is the kinetic energy, in joules, of the object at that speed. Therefore, the best interpretation of K(34) = 5,202 in this context is the object traveling at 34 meters per second has a kinetic energy of 5,202 joules. Choice B is incorrect. The object traveling at 340 meters per second has a kinetic energy of 520,200 joules. Choice C is incorrect. The object traveling at 5,202 meters per second has a kinetic energy of 121,773,618 joules. Choice D is incorrect. The object traveling at 23,409 meters per second has a kinetic energy of 2,465,915,764.5 joules.

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