bDifferentiation/b

Velocity ((v)) is the rate of change of displacement ((s)), therefore:

(v = \dfrac{ds}{dt})

Acceleration ((a)) is the rate fo change of velocity ((v)), therefore:

(a = \dfrac{dv}{dt} = \dfrac{d^2s}{dt2})

bIntegration/b

Integration is the reverse process to differentiation, therefore:

(s = \displaystyle\int{v}~dt)

(v = \displaystyle\int{a}~dt)

bCalculus in kinematics for motion in a straight line/b

(v = \dfrac{ds}{dt})

(a = \dfrac{dv}{dt} = \dfrac{d^2s}{dt2})

(s = \displaystyle\int{v}~dt)

(v = \displaystyle\int{a}~dt)