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=_______

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Accepted Answer

Correct answer: 3. (3) x^2=1+t^22x dx dt=2t xv=tx dv dt+v dx dt=1x a+v^2=1a= 1-v^2x= 1-t^2/x^2xa= 1x^3=x^-3

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

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