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) = 7/2 v². which of the following is the best interpretation of k(22) = 1,694 in this context? a the object traveling at 22 meters per second has a kinetic energy of 1,694 joules. b the object traveling at 220 meters per second has a kinetic energy of 1,694 joules. c the object traveling at 1,694 meters per second has a kinetic energy of 22 joules. d the object traveling at 5,929 meters per second has a kinetic energy of 22 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 $v = 22$ (input to the function), $K(22)=1694$, which means the kinetic energy of the object with speed $v = 22$ m/s is 1694 joules.

Answer:

A. The object traveling at 22 meters per second has a kinetic energy of 1,694 joules.