If velocity is cut in half, how is the kinetic energy affected

Since the K. E proportional to the square of the velocity

so if the velocity cut in half the K. E will equal 1/4 the initial value

Using the Kinetic Energy formula:

K. E = 1/2 (mv^2)

It is shown that kinetic energy is directly proportional to the square of velocity. Which means that if the velocity was reduced to half, kinetic energy would be 1/4 of the original value. To state an example:

let: m = 1; v = 2

Substituting the values would give us:

K. E = 1/2 ((1) (2) ^2)

K. E = 2

Halving the value of velocity would give us the following:

K. E = 1/2 ((1) (1) ^2)

K. E = 0.5

As seen, K. E was reduced to 1/4 of the original value.