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A particle of mass m is initially at res...

A particle of mass m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. It kinetic energy K changes with time as `dK//dt = gamma t,` where `gamma` is a positive constant of appropriate dimensions. Which of the following statement is (are) true?

A

The force applied on the particle is constant.

B

The speed of the particle is proportional to time.

C

The distance of the particle from the origin increases linearly with time.

D

The force is conservative .

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