Question

by how much will the kinetic energy of a body increase if its speed is doubled

Answer 1

The formula for kinetic energy is
K.E. = 1/2 mv^2


So K.E. is proportional to square of velocity

If velocity is doubled the it's K.E. will become 4 times.

Hope it helps you!!

Answer 2

let speed = x m/s

let mass of the body t is equal to m

so, kinetic energy equal to = 1/2mx²

now. speed = 2x ( doubled

so, KE = 1/2m(2x)²

=. 2mx²

so we can say when when speed is doubled then kinetic energy becomes 4 times.