The displacement of a particle is given by `x(t) = (4t ^(2) +8)` meter. The instantaneous velocity of a particle at t = 2s is

Options

A. 12m/s
B. 16m/s
C. 8cm/s
D. 16 cm/s

Answer

B

Explanation

Here,` x (t) = 4t ^(2) + 8m` is given,
`therefore` Instantaneous velocity `v = (dx )/(dl) = (d)/(dt) (4t ^(2) +8)`
`therefore v = 8t`
So, at` t = 2s, v = 8(2) = 16 m//s`