The displacement 'x' of a particle moving along a straight line at time t is given by `x=a_(0)+a_(1)t+a_(2)t^(2)`. The acceleration of the particle is :-

Options

A. `a_(8)`
B. `a_(1)`
C. `a_(3)`
D. `2a_(2)`

Answer

D

Explanation

`x=a_(0)+a_(1)t+a_(2)t^(2)`
`(dx)/(dt)=0+a_(1)+2a_(2)t`
`a=(d^(2)x)/(dt^(2))=0+2a_(2)`