When the brake pedal of a car moving 80 km·h-1 on a straight asphalt road is fully pressed, the car can stop in 50 m. How long will its braking distance be on an identical road which forms a 5° angle with the horizontal plane? Consider both the case when it brakes downhill and when it brakes uphill. Assume that at the time t = 0 s the coordinate is x = 0 m. The wheels do not slip. Neglect the air resistance.

The equations from problem 30 are