Question

the kinetic energy, in joules, of an object with mass 5 kilograms traveling at a speed of v meters per second is given by the function k, where k(v) = 5/2 v². which of the following is the best interpretation of k(42) = 4,410 in this context? a the object traveling at 42 meters per second has a kinetic energy of 4,410 joules. b the object traveling at 420 meters per second has a kinetic energy of 4,410 joules. c the object traveling at 4,410 meters per second has a kinetic energy of 42 joules. d the object traveling at 11,025 meters per second has a kinetic energy of 42 joules.

Explanation:

In the function $K(v)=\frac{5}{2}v^{2}$, $v$ represents the speed in meters - per - second and $K(v)$ represents the kinetic energy in joules. When $v = 42$, $K(42)$ means the kinetic energy of the object when its speed is 42 meters per second, and the result $K(42)=4410$ means the kinetic energy is 4410 joules.

Answer:

A. The object traveling at 42 meters per second has a kinetic energy of 4,410 joules.