Question

What will happen to kinetic energy of an object if its velocity is doubled?

Answer 1

Kinetic energy of an object is

E=  mv²/2

Now assume that velocity has become 2v

So now kinetic energy E₀ will become

E₀ = m(2v)²/2=2mv³

Now we can observe that

E₀ = 4E

So if velocity is doubled Kinetic energy will get 4 times.