Question

The displacement x of a particle varies with time t as x2= 1+t2 . What is its acceleration?

Joshi sir comment

on diffrentiation we will get

2xdx/dt = 2t

so xv = t    (1) 

on differentiating again 

xdv/dt + vdx/dt = 1

or xa + v= 1  (2)

now put v from (1) to (2) we will get answer

 

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