The displacement of a particle moving along x-axis is given by :
`x = a + bt + ct^2`
The acceleration of the particle is.

Options

A. b
B. c
C. `b + c`
D. 2 c

Answer

D

Explanation

`x = a + bt + ct^2`
velocity `v = (dx)/(dt) = 0 + b + c. 2t = b + 2ct`
acceleration `f = (dv)/(dt) = 0 + 2c = 2c`.