Dare u not to go back to basics

$a(t)=(a_n^2(t)+a_t^2(t))^{\frac{1}{2}}$

$a_n(t=0)=\omega^2(t=0) r=r$

$a_t(t=0)=r(\frac{d\omega}{dt})_{t=0}=r$

So $a(t=0)=r 2^{\frac{1}{2}}$

$x=Rcos(e^t)$ and $y=Rsin(e^t)$ so the acceleration on the x axis is $R( -e^t sin(e^t) -e^2t cos(e^t)$ and the acceleration on y axis is $R(e^t cos(e^t) -e^2t sin(e^t)$ so the acceleration on the x axis is 276.354 and on the y axis 60.2337 so the acceleration is the radical of $276.354^2 +60.2337^2$ equal 282.842