Mathematics

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

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

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

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