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A car is accelerated on a levelled road and attains a speed of $4$ times its initial speed. In this process, the kinetic energy of the car

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does not change

becomes

4

times that of initial kinetic energy

becomes

8

times that of initial kinetic energy

becomes

16

times that of initial kinetic energy

answer is D.

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Detailed Solution

The kinetic energy of the car increases by

16

times.
The kinetic energy of a body depends upon the mass and velocity of a body. The formula for kinetic energy

(K . E .)

can be expressed as

K . E . = \frac{1}{2} m v^{2}

where

m

is the mass of the object and

v

is its velocity.
It is given that speed is increased by four times. Therefore,
new velocity

(v') = 4 v .

New kinetic energy

KE'

will be

KE' = \frac{1}{2} m {(4 v)}^{2}

\Rightarrow K . E' = 16 K . E .

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A car is accelerated on a levelled road and attains a speed of 4 times its initial speed. In this process, the kinetic energy of the car

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A car is accelerated on a levelled road and attains a speed of $4$ times its initial speed. In this process, the kinetic energy of the car