The foot brake of a car is considered to be operational if, when braking a car with a speed of 36 km / h
| June 22, 2021 | education
The foot brake of a car is considered to be operational if, when braking a car with a speed of 36 km / h on a dry and flat road, its braking distance does not exceed 12.5 m. Calculate the braking acceleration corresponding to this standard.
Task data: V1 (the speed that the car had) = 36 km / h (in SI V1 = 10 m / s); the movement is straight and slow; S (maximum braking distance) = 12.5 m.
The minimum acceleration of the car, which must comply with the norm, is expressed from the formula: S = (V2 ^ 2 – V1 ^ 2) / (-2a) = V1 ^ 2 / 2a, whence a = V1 ^ 2 / 2S.
Let’s perform the calculation: a = 10 ^ 2 / (2 * 12.5) = 4 m / s2.
Answer: The braking acceleration must be at least 4 m / s2.
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