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If an object has constant acceleration, the
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If an object has constant acceleration, the $v_x(t)$ curve is a straight line that has a non-zero slope and the $a_x(t)$ curve is a horizontal line.

If an object moves in the $x$ direction with constant acceleration $a_x$ starting at $t = 0$, with initial velocity $v_{x,i}$  at initial position $x_i$ , its x coordinate at any instant t is given by

$$x(t) = x_i+v_{x,i}t + \frac{1}{2}a_xt^2$$

The X component of its instantaneous velocity is given by

$$v_x(t)=v_{x,i}+a_xt$$

and the $x$ component of its final velocity is given by

$$v^{2}_{x,f}=v^2_{x,i}+2a_x\Delta{x}$$
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