For a particle whose displacement at time is

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

Problem

For a particle whose displacement at time

t

s=s(t)

, which one of the following expressions represents its acceleration? (a)

a(t)=\displaystyle\int v(t)\,dt

(b)

a(t)=\left(\dfrac{ds}{dt}\right)^{2}

(c)

a(t)=\dfrac{d^{2}s}{dt^{2}}

(d)

a(t)=\dfrac{ds}{dt}