A car is sitting at a stop light when the light turns green. The car then accelerates at a rate of $4$m $/($s $\mathrm{²})$ it reaches a speed of $35$m $/$ s at which point it continues driving at that same speed for $10$ seconds. It then sees a red light at the next stop light and begins to decelerate at a rate of $-3$m $/($s $\mathrm{²})$ until it comes to stop at the light. How far in total did the car travel between stop lights?