There is a strong relationship between energy and speed. We have different types of energies, kinetic being one of them, which is usually energy in motion. Speed is impacted by change of distance with time. Kinetic energy is created by motion or heat. When it is created by motion it leads to increase of velocity[speed] where we have a time factor resulting to these changes.
When a body is moving, its momentum p, is related to speed and mass is usually kept constant. Energy that is final in a body with mass m is equivalent to momentum squared, which makes kinetic energy to depend on the speed squared. Also, per work energy theorem, Work done is equal to the product of force and displacement. K.E =W=FD. 131
We get 1/2mv 2 where m is the mass and v are the speed. From this we can deduce that kinetic energy increases with square velocity making them not linear to each other.
Kinetic energy is the integral of force and distance which makes the body to accelerate uniformly and this makes it not linearly with speed. Kinetic energy is the mass under the influence of force, which accelerates mass and acceleration is usually change of velocity, velocity of mass eventually the kinetic energy changes the state of mass. In <PERSON> second law, we know that force is the change in momentum over time and momentum being the product of mass and velocity. The change of velocity is equivalent to acceleration thus making kinetic energy not linearly with speed because it increases quadratically.
There is proportionalism between it and speed squared, thus when we double it, the energy will increase in fours. When thrice, the energy will increase in nines. Lastly it has only magnitude and no direction, while speed [v] is a vector quantity having both magnitude and direction. Kinetic energy will always be quadratically and never linearly with speed in nature as clearly expounded above. This should be noted in every aspect, such as in calculations, experiments, measurements and various research with the modern technology. 131