Question

Тело движется прямолинейно равноускоренно с ускорением 0,8 м\с2. Какое расстояние она пройдёт через 5 секунд после начала движения, если его начальная скорость равно нулю ?

Answer 1

Calculation of Distance Traveled

To calculate the distance traveled by an object moving in a straight line with constant acceleration, we can use the following equation:

\[d = v_0t + \frac{1}{2}at^2\]

Where: - d is the distance traveled - v_0 is the initial velocity (which is zero in this case) - t is the time elapsed - a is the acceleration

Given that the acceleration is 0.8 m/s² and the initial velocity is 0, we can substitute these values into the equation to find the distance traveled after 5 seconds.

\[d = 0 \cdot 5 + \frac{1}{2} \cdot 0.8 \cdot 5^2\]

Simplifying the equation:

\[d = 0 + 0.4 \cdot 25\]

\[d = 10\]

Therefore, the body will travel a distance of 10 meters after 5 seconds of motion with an initial velocity of 0 and an acceleration of 0.8 m/s².