Question

Грузовой и легковой автомобили выехали одновремен но без начальной скорости, первый с ускорением 0,2 м/кв.c, второй с ускорением 0,5 м/кв.c Сравнить пу- ти, пройденные автомобилями за одно и тоже время. Каково будет расстояние между автомобилями через 10 с?

Answer 1

S1=а1t^2/2 S2=а2t^2/2 Остается подставить и решить

Answer 2

Problem Analysis

Two vehicles, a truck and a car, start moving simultaneously from rest. The truck accelerates at 0.2 m/s^2, and the car accelerates at 0.5 m/s^2. We need to compare the distances traveled by the vehicles in the same time and find the distance between them after 10 seconds.

Distance Traveled by the Truck and the Car

The distance traveled by an object with constant acceleration can be calculated using the equation: \[ s = ut + \frac{1}{2}at^2 \] where: - \( s \) = distance traveled - \( u \) = initial velocity (0 m/s as both start from rest) - \( a \) = acceleration - \( t \) = time

For the truck: \[ s_{truck} = 0 \cdot 10 + \frac{1}{2} \cdot 0.2 \cdot 10^2 \] \[ s_{truck} = 0 + 1 \cdot 10 = 10 \, \text{m} \]

For the car: \[ s_{car} = 0 \cdot 10 + \frac{1}{2} \cdot 0.5 \cdot 10^2 \] \[ s_{car} = 0 + 25 = 25 \, \text{m} \]

The truck travels 10 meters, and the car travels 25 meters in 10 seconds.

Distance Between the Truck and the Car After 10 Seconds

The distance between the truck and the car after 10 seconds can be found by taking the absolute difference of the distances traveled by each vehicle.

\[ \text{Distance} = |s_{car} - s_{truck}| = |25 - 10| = 15 \, \text{m} \]

The distance between the truck and the car after 10 seconds is 15 meters.