Question

По двум параллельным железнодорожным путям равномерно движутся два поезда в одном направлении: грузовой со скоростью 48 км/ч и пассажирский со скоростью 102 км/ч. Какова величина относительной скорости поездов? Ответ в м/с

Answer 1

Т.к двигаються в одном направлении, то v=v1-v2. 102 - 48 = 54км/ч = 15м/с

Answer 2

Calculation of Relative Velocity

To calculate the relative velocity between two trains moving in the same direction on parallel railway tracks, we need to subtract the velocity of one train from the velocity of the other train. In this case, we have a freight train moving at a speed of 48 km/h and a passenger train moving at a speed of 102 km/h.

The relative velocity between the two trains can be calculated as follows:

Relative Velocity = Velocity of Passenger Train - Velocity of Freight Train

Let's calculate the relative velocity using the given speeds:

Relative Velocity = 102 km/h - 48 km/h

To convert the velocities from kilometers per hour (km/h) to meters per second (m/s), we need to divide the velocities by 3.6, since 1 km/h is equal to 1/3.6 m/s.

Relative Velocity = (102 km/h - 48 km/h) / 3.6

Now, let's calculate the relative velocity:

Relative Velocity = (102/3.6 - 48/3.6) m/s

Calculating the values:

Relative Velocity = (28.33 - 13.33) m/s

Relative Velocity = 15 m/s

Therefore, the magnitude of the relative velocity between the two trains is 15 m/s.