A train is moving due east and a car is moving due north with equal speeds. A passenger in the train finds that the car is moving towards

a) North – East

b) North – West

c) South – West

d) South – East

Answer: b) North – West

Solution:

A train is moving due east and a car is moving due north with equal speeds

Let 

\(\begin{array}{l}\vec{v_{c}}\end{array} \)
be the velocity of the car and 
\(\begin{array}{l}\vec{v_{t}}\end{array} \)
be the velocity of the train.

We know that

\(\begin{array}{l}\vec{v_{ct}}=\vec{v_{c}}-\vec{v_{t}}\end{array} \)

Hence, from the figure, velocity of car w.r.t train (vct) is towards West – North.

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