2022 TWO(c)

An object is travelling in a straight line. Its displacement, in metres, is given by the formula:

$d(t)=\frac{t^2-6}{2t^3}$ where $t>0$, $t$ is time in seconds.

Find the time(s) when the object is stationary.

*You must use calculus and show any derivatives that you need to find when solving this problem.*