In physics, the kinetic energy, K, of an object of mass m, moving at a velocity v, is given by the equation K = (1/2)mv^2 . If the mass is increasing at a rate of 1 kg per second, and the velocity is decreasing at a rate of 1 meter per second per second, what is the rate of change of the kinetic energy when the mass is 5 kg and the velocity is 2 meters per second?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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In physics, the kinetic energy, K, of an object of mass m, moving at a velocity v, is given by the equation K = (1/2)mv^2 . If the mass is increasing at a rate of 1 kg per second, and the velocity is decreasing at a rate of 1 meter per second per second, what is the rate of change of the kinetic energy when the mass is 5 kg and the velocity is 2 meters per second?

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