Question

the kinetic energy, in joules, of an object with mass 7 kilograms traveling at a speed of v meters per second is given by the function k, where k(v) = \frac{7}{2}v^{2}. which of the following is the best interpretation of k(26) = 2,366 in this context?
a the object traveling at 26 meters per second has a kinetic energy of 2,366 joules.
b the object traveling at 260 meters per second has a kinetic energy of 2,366 joules.
c the object traveling at 2,366 meters per second has a kinetic energy of 26 joules.
d the object traveling at 8,281 meters per second has a kinetic energy of 26 joules.

Explanation:

In the function \(K(v)=\frac{7}{2}v^{2}\), \(v\) represents the speed of the object in meters per second and \(K(v)\) represents the kinetic energy of the object in joules. When we have \(K(26) = 2366\), the input value \(v = 26\) (the speed) and the output value \(K(v)=2366\) (the kinetic energy).

Answer:

A. The object traveling at 26 meters per second has a kinetic energy of 2,366 joules.