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. Its kinetic energy K changes with time as $\mathrm{dK} / \mathrm{dt}=\gamma \mathrm{t}$, where $\gamma$ is a positive constant of appropriate dimensions. Which of the following statements is (are) true?
Select ALL correct options:
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
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