For , the position (in meters) of a particle is given by . At what time is the…

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

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}

(b)

\dfrac12\,\text{s}

t>0

(d)

\dfrac14\,\text{s}