# The brake of a truck is considered to be operational if, when driving at a speed of 25 m / s, its braking distance

The brake of a truck is considered to be operational if, when driving at a speed of 25 m / s, its braking distance does not exceed 70 meters. with what acceleration should the car move with such braking?

To find the acceleration with which the used car needs to move, we apply the formula: S = Vn ^ 2 / 2a, from where we express: a = Vn ^ 2 / 2S.

Variables: Vн – speed (initial) before deceleration (Vн = 25 m / s); S – maximum braking distance (S = 70 m).

Let’s perform the calculation: a = Vn ^ 2 / 2S = 25 ^ 2 / (2 * 70) = 4.464 m / s2.

Answer: The vehicle used must be moving with an acceleration of at least 4.464 m / s2.

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