Question

Велосипедист и мотоциклист одновременно выезжают на шоссе и движутся равномерно и прямолинейно в разных направлениях.Скорость первого U1=36 км/ч,второго U2=15 м/с.Какое расстояние S1 будет между ними через промежуток времени 4 мин? Через сколько минут расстояние между ними будет S2 = 9км?

Answer 1

Дано:
V₁=36км/ч=10м/с
V₂=15м/с
t₁=4мин=240с
S₂=9км=9000м
S₁-?
t₂-?
найдем путь, пройденный телами за время 240с
L₁=V₁t₁
L₂=V₂t₂
L₁=10*240=2400м проедет велосипедист
L₂=15*240=3600м проедет мото.
найдем расстояние между ними S₁=L₁+L₂
S₁=2400м+3600м=6000м=6км
S₁=6000м=6км
Чтобы найти время, через которое расстояние = 9000м, необходимо найти относительную скорость
V=V₁+V₂
V=10м/с+15м/с=25м/с
Найдем время  t₂=S₂/V
t₂=9000/25=360c=60мин
t₂=360c=60мин

Answer 2

V1=10m/c, v2=15m/c t=4мин=240 c 
V=10+15=25 м/c ( скорость сближения) следовательно, S1= v*t= 25*240=6000м=6км
t=S2/v= 9000/25=360c=6мин
Вроде так)

Answer 3

Calculation of Distance between the Cyclist and the Motorcyclist

To calculate the distance between the cyclist and the motorcyclist, we need to convert the units of their speeds to be consistent. The speed of the cyclist is given as U1 = 36 km/h, and the speed of the motorcyclist is given as U2 = 15 m/s.

Let's convert the speed of the cyclist from km/h to m/s: - 1 km/h is equal to 1000 m/3600 s. - Therefore, the speed of the cyclist in m/s is (36 km/h) * (1000 m/3600 s) = 10 m/s.

Now, we can calculate the distance between them after a time interval of 4 minutes (240 seconds).

Using the formula: distance = speed * time, we can calculate the distance S1 between them: - S1 = U1 * t, where U1 is the speed of the cyclist and t is the time interval.

Substituting the values, we get: - S1 = (10 m/s) * (240 s) = 2400 meters.

Therefore, the distance S1 between the cyclist and the motorcyclist after 4 minutes is 2400 meters.

Calculation of Time for a Distance of 9 km

To calculate the time it takes for the distance between them to be 9 km, we need to convert the units of the distance to be consistent. The distance is given as S2 = 9 km.

Let's convert the distance from km to meters: - 1 km is equal to 1000 meters. - Therefore, the distance S2 in meters is (9 km) * (1000 m/km) = 9000 meters.

Using the formula: time = distance / speed, we can calculate the time interval required for the distance S2: - t = S2 / U2, where S2 is the distance and U2 is the speed of the motorcyclist.

Substituting the values, we get: - t = (9000 meters) / (15 m/s) = 600 seconds.

Therefore, the time required for the distance between the cyclist and the motorcyclist to be 9 km is 600 seconds.

Please note that the calculations provided above are based on the given information and assumptions.