A particle moves in a straight line so that its displacement x at any time t is given by x^2=1+t^2. Its acceleration at any time t is x^- n where n =…

A particle moves in a straight line so that its displacement $\displaystyle x$ at any time $\displaystyle t$ is given by $\displaystyle x^2=1+t^2$. Its acceleration at any time t is $\displaystyle x^{-\mathrm{n}}$ where $\displaystyle \mathrm{n}=$ $\displaystyle \_\_\_\_$.