Write the equations of motion for uniformly accelerated motion in a plane.

(N/A) For motion in a plane with uniform acceleration $\vec{a}$,the motion can be resolved into two independent components along the $x$ and $y$ axes.
$1$. For the $x$-axis:
$v_x = u_x + a_x t$
$x = u_x t + \frac{1}{2} a_x t^2$
$v_x^2 = u_x^2 + 2 a_x x$
$2$. For the $y$-axis:
$v_y = u_y + a_y t$
$y = u_y t + \frac{1}{2} a_y t^2$
$v_y^2 = u_y^2 + 2 a_y y$
Here,$\vec{u} = (u_x, u_y)$ is the initial velocity,$\vec{v} = (v_x, v_y)$ is the final velocity at time $t$,and $\vec{a} = (a_x, a_y)$ is the constant acceleration.