The distance x (in m ) covered by a molecule starting from point A at time t=0 and stopping at another point B in given by the equation x=t^2 (2- t 3 ) The distance between A and B (in m ) is closed to

Step-by-step solution

Given that distance x=t^2(2-t / 3) On differentiating d x d t =4 t-t^2 For x to be maximum, d x d t =0 array rlr & 4 t-t^2=0 & t=4 array Maximum distance aligned x_ & =4^2(2-4 / 3) 16 & [ 6-4 3 ] = & 16 2 3 & =10.7 aligned