Question

A car accelerates non-uniformly over a path for time t. Do equations of motion hold true inthis case?

Answer 1

The equations of motion are valid only when acceleration is constant and motion is constrained to a straight line.


But in ur case the car accelerates non uniformly so the equations of motion can't be applied here.

Answer 2

If we want to calculate over the whole time, the equation of motion wont work.
But, If we want to calculate part by part of the journey said that we know the accn in each part, we can calculate it.
But, as a whole, we can't. We can only figures out the average.