A particle moves along a line so that its position (in meters) at time seconds is

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

Problem

A particle moves along a line so that its position (in meters) at time

t

seconds is

s(t)=5t^{\tfrac{3}{2}}-2t^{\tfrac{1}{2}}

. What is the particle’s acceleration at

t=4\text{ s}

? (a)

\dfrac{17}{8}\,\text{m/s}^2

(b)

\dfrac{29}{16}\,\text{m/s}^2

(c)

\dfrac{31}{16}\,\text{m/s}^2

(d)

\dfrac{15}{8}\,\text{m/s}^2