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  4. Kinetic energy of a particle moving in a straight line varies with time t as K =4 t 2. The force acting on the particle -

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Q. Kinetic energy of a particle moving in a straight line varies with time $t$ as $K =4 t ^{2}$. The force acting on the particle -

Work, Energy and Power

Solution:

$K =4 t ^{2}=\frac{1}{2} mv ^{2} $
$\Rightarrow v \propto t$
$\Rightarrow a =$ constant and
$F =$ constant