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A subway train is traveling north at a speed of 35 km/h while a passenger
walks south through the train at a speed of 2 km/h. If you are watching the
train speed by from the platform, how fast is the passenger traveling in
relation to you?
O
A. 33 km/h north
B. 37 km/h south
O
C. 37 km/h north
O
D. 33 km/h south
SUBMIT

Respuesta :

Answer:

A. 33 km/h north

Explanation:

Given that,

The velocity of train with respect to the platform, [tex]V_{BC}[/tex] = 35 Km/h

The velocity of passenger with respect to train, [tex]V_{AB}[/tex] = -2 Km/h

The negative sign indicates that the direction of velocity vector is taken as opposite.

The relative velocity is given by the formula in vectors as

[tex]V_{AC}[/tex] = [tex]V_{AB}[/tex] + [tex]V_{BC}[/tex]

[tex]V_{AC}[/tex] = -2 Km/h + 35 Km/h

          = 33 Km/h

Hence, the velocity of the passenger traveling in the train in relation to the platform observer is  33 Km/h towards the North.

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