10 A particle moves along the x -axis with a nonconstant acceleration described by

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

Problem

\mathrm{a}=12 \mathrm{t}

, where a is in meters per second squared and t is in seconds. If the particle starts from rest so that its speed v and position x are zero when

t=0

, where is it located when

t=2

seconds? (A)

\mathrm{x}=12 \mathrm{~m}

(B)

\mathrm{x}=16 \mathrm{~m}

(C)

\mathrm{x}=24 \mathrm{~m}

(D)

\mathrm{x}=32 \mathrm{~m}

(E)

\mathrm{x}=48 \mathrm{~m}