$(-4t^2 \cos(t^2) - 2 \sin(t^2), -4t^2 \sin(t^2) + 2 \cos(t^2))$

$(-2 \sin(t^2), 2 \cos(t^2))$

$(-4t \sin(t^2), 4t \cos(t^2))$

$(0, 0)$