Question

Автомобиль модуль скорости движения которого u1=76км/ч,обгоняет мотоциклиста движущегося со скоростью,модуль которой u2=50км/ч.Через какой промежуток времени расстояние между автомобилем и мотоциклом будет равно l=2,6 км?

Answer 1

Calculation of Time Required to Cover a Distance

To calculate the time required for the distance between the car and the motorcycle to be equal to 2.6 km, we can use the formula:

Time = Distance / Speed

Given: - Speed of the car, u1 = 76 km/h - Speed of the motorcycle, u2 = 50 km/h - Distance between the car and the motorcycle, l = 2.6 km

Let's calculate the time required:

Time = l / (u1 - u2)

Substituting the given values:

Time = 2.6 km / (76 km/h - 50 km/h)

Calculating the difference in speeds:

Time = 2.6 km / 26 km/h

Converting km/h to km/min:

Time = 2.6 km / (26 km/h * 60 min/h)

Simplifying the expression:

Time = 2.6 km / 1560 km/min

Calculating the time:

Time ≈ 0.00167 min

Therefore, it will take approximately 0.00167 minutes (or about 0.1 seconds) for the distance between the car and the motorcycle to be equal to 2.6 km.

Please note that the above calculation assumes constant speeds for both the car and the motorcycle throughout the entire duration of the overtaking maneuver.