For a particle

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For a particle, displacement varies with time as

x = 4t^{2} - 2t + 1

(metres). Determine the instantaneous velocity at

t = 3\,\text{s}

. (a)

24\,\text{m s}^{-1}

(b)

22\,\text{m s}^{-1}

(c)

10\,\text{m s}^{-1}

(d)

-22\,\text{m s}^{-1}