Which among the following is the correct option?

On a level road, a guy increases the speed of his automobile from 20m/s to 30m/s. The ratio of final kinetic energy to initial kinetic energy is:

Kinetic energy is the energy that a body possesses as a result of its motion.

$K=\frac{1}{2}m{v}^2$

Here $m=$ mass of the body and $v=$ velocity of the body

Given that:

Initial speed $\left(u\right)=20 m/s$

Final speed $\left(v\right)=30 m/s$

If the total mass is $m$.

$K=\frac{1}{2}m{v}^2$

The ratio of final KE to initial KE is given by:

The ratio $\frac{\frac{1}{2}{m}^2{v}^2}{\frac{1}{2}{m}^2{u}^2}=\frac{{30}^2}{{20}^2}=9:4$