Question

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

Answer 1

A. 33 km/h north

Step-by-step explanation:

Given that,

The velocity of train with respect to the platform,
`V_(BC)` = 35 Km/h

The velocity of passenger with respect to train,
`V_(AB)` = -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

`V_(AC)` =
`V_(AB)` +
`V_(BC)`

`V_(AC)` = -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.