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 = ___________

Step-by-step solution

aligned & x ^2=1+ t ^2 & 2 x dx dt =2 t & xv = t & x dv dt + v dx dt =1 & x a + v ^2=1 & a = 1- v ^2 x = 1- t ^2 / x ^2 x & a = 1 x ^3 = x ⁻³ aligned