Mathematics

Problem

For

t>0

, the position (in meters) of a particle is given by

s(t)=2t^{\tfrac{5}{3}}-5t^{\tfrac{2}{3}}

. At what time is the particle’s acceleration equal to zero? a)

1\,\text{s}

\dfrac12\,\text{s}

c) Acceleration is never zero for

t>0

\dfrac14\,\text{s}