Question

Автомобиль стартуя с места и двигаясь с постоянным ускорением, через 12 секунд достигает скорости 108 км/ч.какое расстояние он пройдет за это время

Answer 1

108 км/час = 30 м/сек 
а = V / t = 30 / 12 = 2,5 м/с^2
S = a*t^2 / 2 = 2,5 * 12^2 / 2 = 180 м

Answer 2

Calculation of Distance Traveled

To calculate the distance traveled by the car, we can use the formula:

distance = initial velocity * time + (1/2) * acceleration * time^2

Given that the car starts from rest (initial velocity = 0) and moves with a constant acceleration, we can substitute the values into the formula.

Let's calculate the distance traveled:

Initial velocity (u) = 0 km/h

Time (t) = 12 seconds

Final velocity (v) = 108 km/h

Using the formula, we have:

distance = (0 * 12) + (1/2) * acceleration * (12^2) = 0 + 6 * acceleration * 144 = 864 * acceleration

To find the acceleration, we need to convert the final velocity from km/h to m/s:

Final velocity (v) = 108 km/h = 108 * (1000/3600) m/s = 30 m/s

Now we can solve for the acceleration:

distance = 864 * acceleration

30 = 864 * acceleration

acceleration = 30 / 864 = 0.0347 m/s^2

Substituting the value of acceleration back into the distance formula:

distance = 864 * 0.0347 = 29.9 meters

Therefore, the car will travel approximately 29.9 meters in 12 seconds.