A particle moves along a straight line such that its position is (in metres)

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

Problem

A particle moves along a straight line such that its position is

x(t)=10t-t^{3}

(in metres). Determine the magnitude of its acceleration when the particle momentarily comes to rest. (a)

6\,\text{m s}^{-2}

(b)

11\,\text{m s}^{-2}

(c)

3.7\,\text{m s}^{-2}

(d)

19\,\text{m s}^{-2}