What is the initial and final speed of the car if, when braking with an acceleration of 1m / s ^ 2

What is the initial and final speed of the car if, when braking with an acceleration of 1m / s ^ 2, it covers a distance of 200m in 10s?

These tasks: the movement of the car is slowed down; a (acceleration modulus) = 1 m / s2; S (path that the car has traveled) = 200 m; t (deceleration time) = 10 s.

1) Determine the speed of the car before braking: S = V0 * t – 0.5 * a * t ^ 2, whence V0 = (S + 0.5 * a * t ^ 2) / t = (200 + 0.5 * 1 * 10 ^ 2) / 10 = 250/10 = 25 m / s.

2) Let’s calculate the final speed: V = V0 – a * t = 25 – 1 * 10 = 15 m / s.

Answer: Before braking the car had a speed of 25 m / s, after braking its speed became 15 m / s.