A car has kinetic energy ‘Eₖ’. By what factor would its kinetic energy change if its velocity is doubled?

Kinetic energy is proportional to the square of the velocity of an object. The formula for kinetic energy is given by Ek=1/2mv2, where is the mass and is the velocity. If the velocity of the car is doubled, the kinetic energy will increase by a factor of four. This is because (2v)2=4v2, so when velocity is doubled, the kinetic energy becomes four times greater. Therefore, if the car initially has kinetic energy Ek, after doubling its velocity, its kinetic energy will be 4Ek4.

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