A ball rolls so that its displacement from the start line is metres after seconds

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A ball rolls so that its displacement from the start line is

s(t)=5t^{2}+2t

metres after

t

seconds. Find its instantaneous velocity at

t=3

s. (a)

36\,\text{m/s}

(b)

17\,\text{m/s}

(c)

32\,\text{m/s}

(d)

51\,\text{m/s}