question_answer

The distance x covered by a particle in one dimensional motion varies with time t as \[{{x}^{2}}\text{ }=\text{ }a{{t}^{2}}\text{ }+\text{ }2bt\text{ }+\text{ }c\]. If the acceleration of the particle depends on x as\[{{x}^{n}}\], where n is an integer, the value of n is _____.      [JEE MAIN Held on 09-01-2020 Morning]

Answer:

\[\Rightarrow a\propto {{x}^{-3}}\]