Question

Поезд начинает отходить от станции со скоростью 2 м/с, а безбилетный пассажир убегает от контролёра против хода поезда со скоростью 3 м/с. Найти вектор скорости пассажира относительно Земли и его характеристики.

Answer 1

Из закона сложения скоростей 

V21=V1-V2=2-3=-1 м/с

Знак минус означает что скорость ЗАЙЦА направлена против движения поезда.

Answer 2

Finding the Velocity Vector of the Passenger Relative to the Earth

To find the velocity vector of the passenger relative to the Earth, we need to consider the velocities of both the train and the passenger.

Given: - Velocity of the train (v_train) = 2 m/s - Velocity of the passenger relative to the train (v_passenger_train) = -3 m/s (since the passenger is running in the opposite direction of the train)

To find the velocity vector of the passenger relative to the Earth (v_passenger_earth), we can use the relative velocity formula:

v_passenger_earth = v_train + v_passenger_train

Substituting the given values:

v_passenger_earth = 2 m/s + (-3 m/s) = -1 m/s

Therefore, the velocity vector of the passenger relative to the Earth is -1 m/s. The negative sign indicates that the passenger is moving in the opposite direction of the train.

Characteristics of the Velocity Vector

The characteristics of the velocity vector of the passenger relative to the Earth (-1 m/s) are as follows:

1. Magnitude: The magnitude of the velocity vector is 1 m/s. Magnitude represents the speed of the passenger relative to the Earth.

2. Direction: The direction of the velocity vector is opposite to the direction of the train. Since the train is moving in the positive direction, the passenger is moving in the negative direction relative to the Earth.

3. Line of Action: The line of action of the velocity vector is parallel to the direction of the passenger's motion. It indicates the path along which the passenger is moving relative to the Earth.

4. Time Independence: The velocity vector is time-independent, meaning it remains constant as long as the passenger maintains the same speed and direction relative to the train and the train maintains its speed and direction.

5. Frame of Reference: The velocity vector is defined with respect to the Earth as the frame of reference. It describes the motion of the passenger relative to the Earth.

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