Question

A car accelerates non-uniformly over a path for time t.Do equations of motion hold true for this case?Why/Why not?

Answer 1

No the equations of motion do not hold true for this.As you must have seen these are derived keeping acceleration as a constant. The components of the equations are moreover vectors.

Answer 2

$\huge\mathfrak{\underline{\underline{Answer:-}}}$

No, because the equations of the motion are valid for uniformly accelerated motion only.