The displacement x of a particle 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. `b_(0)`
B. `b_(1)`
C. `b_(2)`
D. `2b_(2)`

Answer

D

Explanation

Distance, `x=b_(0)+b_(1)t+b_(2)t^(2)`
Velocity, `upsilon=((dx)/(dt))=b_(1)+2b_(2)t`
Acceleration, `alpha=(d^(2)x)/(dt^(2))=2b_(2)`