1.1. A particle travels along a curve with parametric equations

$x=6ty=8{t}^{2}-8t+30\leqt\leq1$

where the coordinates $(x,y)$ give the position of the particle after time $t$ seconds.

Find the coordinates of the position of the particle after 0.2 seconds.

1.2. Find an expression for $\frac{dy}{dx}$ in terms of $t$.

1.3. Find the coordinates of the position of the particle when it is at the minimum point on the curve.