Question

Мльчик бросает камешки в колодец и рассчитивает расстояние до воды в колодце по формуле s=5tв2, где s-расстояние в метрах ,t- время падения в секундах . после дождя уровень воды поднялся . Найдите , на сколько метров поднялася уровень воды в колодце , если додождя время подения было 0,6с, а после дождя измеримое время изменилось на 0,2с . Как решать ?

Answer 1

S = 5*t^2 
s = 5*(0,6)^2
s = 5*0,36
s = 1,8 - до дождя 
0,6-0,2 = 0,4 - изменение времени
s = 5*(0,4)^2
s = 5*0,16
s = 0,8 - после дождя
1,8 - 0,8 = 1 - изменение уровня воды

Answer 2

Problem Analysis

The problem involves a boy throwing stones into a well and calculating the distance to the water in the well using the formula s = 5t^2, where s is the distance in meters and t is the time in seconds. After rain, the water level in the well has risen. The task is to find how many meters the water level in the well has risen if the time of falling before the rain was 0.6 seconds, and after the rain, the measurable time changed by 0.2 seconds.

Solution

To solve this problem, we can use the given formula s = 5t^2 to calculate the initial distance to the water in the well before the rain and after the rain. Then, we can find the difference between the two distances to determine how much the water level has risen.

1. Initial Distance Calculation: - Before the rain: Substitute t = 0.6s into the formula s = 5t^2 to find the initial distance to the water in the well. - After the rain: Substitute t = 0.6s + 0.2s = 0.8s into the formula s = 5t^2 to find the new distance to the water in the well.

2. Difference Calculation: - Find the difference between the initial distance and the new distance to determine how much the water level has risen.

Calculation

1. Initial Distance: - Before the rain: - Substitute t = 0.6s into the formula s = 5t^2: - s = 5 * (0.6)^2 = 5 * 0.36 = 1.8m - After the rain: - Substitute t = 0.8s into the formula s = 5t^2: - s = 5 * (0.8)^2 = 5 * 0.64 = 3.2m

2. Difference Calculation: - The water level in the well has risen by 3.2m - 1.8m = 1.4m.

Conclusion

The water level in the well has risen by 1.4 meters after the rain.

This problem can be solved by using the given formula to calculate the initial and new distances to the water in the well and then finding the difference between the two distances.