Question

How does kinetic energy change with speed?

Answer 1

1. When an object is in motion, kinetic energy is visible. The thing must exert energy in order to move. The kinetic energy of the object is dependent on the mass of the object and the speed at which it moves.
   The following formula provides kinetic energy: $K.E.=\frac{1}{2}m{v}^2$
2. Where, $m$ is the mass of an object, and $v$ is the speed of an object
3. The kinetic energy of an item is directly proportional to the square of its speed, as can be shown from this expression. Therefore, the speed doubles and the kinetic energy rises by a factor of four.
4. The kinetic energy will rise by a factor of nine if the speed is increased by three times.

Hence, the object's kinetic energy depends on the square of its speed.