# How long does it take for a car to travel 30 meters from a rest state at an acceleration of 0.6m / s?

September 29, 2021 | education

| Given:

a = 0.6 m / s2 – acceleration with which the car is moving;

L = 30 meters – the distance traveled by the car in some time.

It is required to determine t (seconds) – how long it takes the car to travel the distance L.

Since, according to the condition of the problem, the car began to move from a state of rest (that is, with an initial speed equal to zero), then:

L = v0 * t + a * t ^ 2/2, since v0 = 0, then:

L = a * t ^ 2/2;

t ^ 2 = 2 * L / a;

t = (2 * L / a) ^ 0.5 = (2 * 30 / 0.6) ^ 0.5 = (60 / 0.6) ^ 0.5 = 100 ^ 0.5 = 10 seconds.

Answer: the car will travel a distance of 30 meters in 10 seconds.

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