
Автомобиль который движется равномерно и прямолинейно со скоростью 54км/ч прошел за время 10сек
такой же путь как и мотоциклист за время 12сек. Чему равна скорость мотоциклиста если считать его движение так же равномерным и прямолинейным

Ответы на вопрос

Найдем путь сначала:
S = vt = 15*10 = 150 м (54 км/ч = 15 м/с)
Тогда скорость мотоциклиста:
V = 150/12 = 12,5 м/с. = 45 км/ч.
Ответ: 45 км/ч.






Problem Analysis
We are given that a car is moving uniformly and in a straight line with a speed of 54 km/h. It takes 10 seconds for the car to travel a certain distance. We are also told that a motorcyclist covers the same distance in 12 seconds. We need to find the speed of the motorcyclist assuming their motion is also uniform and in a straight line.Solution
To find the speed of the motorcyclist, we can use the formula:Speed = Distance / Time
Since the car and the motorcyclist cover the same distance, we can equate their respective speed-distance-time relationships:
Car's Speed = Motorcyclist's Speed
Car's Distance / Car's Time = Motorcyclist's Distance / Motorcyclist's Time
Substituting the given values:
54 km/h / 10 s = Motorcyclist's Distance / 12 s
To find the motorcyclist's speed, we need to calculate the distance covered by the motorcyclist in 12 seconds.
Calculation
To calculate the distance covered by the motorcyclist, we can use the formula:Distance = Speed * Time
Substituting the given values:
Motorcyclist's Distance = Motorcyclist's Speed * 12 s
Now we can substitute this value back into the equation:
54 km/h / 10 s = (Motorcyclist's Speed * 12 s) / 12 s
Simplifying the equation:
54 km/h = Motorcyclist's Speed
Therefore, the speed of the motorcyclist is 54 km/h.
Answer
The speed of the motorcyclist, assuming their motion is also uniform and in a straight line, is 54 km/h.

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