# According to the rules of the road, the braking system of a car is considered to be in good working order

According to the rules of the road, the braking system of a car is considered to be in good working order if it provides braking on a dry and flat road with an acceleration of 5 m / s ^ 2. Determine the braking distance and deceleration time corresponding to this standard for the vehicle, which is moving at a speed of 54 km / h.

Data: a (acceleration when braking a working braking system) = 5 m / s2; V (initial vehicle speed) = 54 km / h (in SI V = 15 m / s).

1) Normal deceleration time: t = (V0 – V) / a = (15 – 0) / 5 = 3 s.

2) Braking distance corresponding to the norm: S = (V0 ^ 2 – V ^ 2) / 2a = (15 ^ 2 – 0) / (2 * 5) = 225/10 = 22.5 m.

Answer: The standard corresponds to a braking distance of 22.5 m and a braking time of 3 s.

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