Answer
Yes, we can able to find out the vehicle position.
Work Step by Step
Yes, we can able to calculate the position of the vehicle if we get to know the initial position, acceleration, and velocity at each instant.
we can integrate the acceleration and get the position of the vehicle by using
$x (t) = x_{0} + ∫_0^tvdt = x_{0} + v_{0}t + ∫_0^t∫_0^t a(t)dtdt'$