If x, v and a denote the displacement, the velocity and the...

We know, instantaneous displacement,

$x = rsin\omegat$

$∵$ Instantaneous velocity, $v = \dfrac{dx}{dt} = r\omega cos\omegat$

So. $\dfrac{aT}{x} = \dfrac{- {ω}^{2}x \times T}{x} = - {ω}^{2}T = \dfrac{- 4{\pi}^{2}}{T2} \times T$

$= \dfrac{- 4{\pi}^{2}}{T} =$ constant

and,

$⇒ \dfrac{aT}{V} = \dfrac{- {ω}^{2}rsin\omegat \times T}{\omega rcos\omegat} = - \omega Ttan\omegaT$

$= - \dfrac{2\pi}{T} \times Ttan\omegat =$ not constant

Similarly, $aT + 2\piv$ and $a^{2}T^{2} + 4{\pi}^{2}v^{2}$ is also not constant,
i.e. both are function of $t$