Question

Автомобиль, идущий со скоростью 36 км/ч , начинает двигаться с ускорением 0,2 м/с2. Какой путь пройдет автомобиль за десятую секунду от начала движения?

Answer 1

V = 36 км/ч = 10 м/с   t = 1 c  T = 9 c   V9 = V + a * T = 10 + 0.2*9 = 11.8 м/с
L = V9 * t + (a*t^2)/2 = 11.8 м/с * 1с + (0.2 м/с^2 * 1 с^2)/2 = 11.8 м + 0.1м = 11.9 м

Answer 2

Calculation of the Distance Traveled by the Car

To calculate the distance traveled by the car in the tenth second from the start of motion, we need to use the formula for calculating the distance traveled with constant acceleration:

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

Given: - Initial velocity (u) = 36 km/h - Acceleration (a) = 0.2 m/s^2 - Time (t) = 10 seconds

First, we need to convert the initial velocity from km/h to m/s: - 1 km/h = 1000 m/3600 s - Therefore, the initial velocity (u) = 36 km/h * (1000 m/3600 s) = 10 m/s

Now we can substitute the values into the formula:

\[distance = 10 m/s * 10 s + (1/2) * 0.2 m/s^2 * (10 s)^2\]

Simplifying the equation:

\[distance = 100 m + (1/2) * 0.2 m/s^2 * 100 s^2\] \[distance = 100 m + 10 m\] \[distance = 110 m\]

Therefore, the car will travel a distance of 110 meters in the tenth second from the start of motion.