Yes, if the speed of an object increases its kinetic energy increases. Kinetic energy is energy of motion. Doubling the speed will quadruple the kinetic energy. The relationship between speed and kinetic energy is:
This means that the factor by which kinetic energy increases is the square of the factor by which speed or velocity increases for a given object.
Kinetic energy equals the work that must be done on an object to accelerate it from rest to a given speed. Work is force multiplied by displacement or distance an object moves in the direction of the applied force. More work must be done to reach a greater speed, either by applying more force or by applying force over a greater distance. Once an object being accelerated reaches a constant speed its kinetic energy remains constant unless its speed is changed.
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