The position of a particle moving along a straight line is given by (SI units)

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The position of a particle moving along a straight line is given by

x = 5 t^{2} + 2 t

(SI units). Find its instantaneous velocity at

t = 3\,\text{s}

. (a)

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

(b)

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

(c)

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

(d)

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