Mathematics

Problem

For a particle, displacement as a function of time is

x(t)=t^{3}-6t^{2}+9t+2

(in metres). At what time does its velocity first become zero and what is the magnitude of acceleration at that instant? a)

t=1\,\text{s},\;|a|=6\,\text{m\,s}^{-2}

t=3\,\text{s},\;|a|=6\,\text{m\,s}^{-2}

t=1\,\text{s},\;|a|=0\,\text{m\,s}^{-2}

t=4\,\text{s},\;|a|=12\,\text{m\,s}^{-2}