Two parallel rail tracks run north-south. Train A moves north with a speed of 54 $k m h^{- 1}$ and train B moves south with a speed of 90 $k m h^{- 1}$ , What is the
a. the relative velocity of B with respect to A?
b. the relative velocity of the ground with respect to B?
c. a velocity of a monkey running on the roof of the train A against its motion (with its velocity of 18 $k m h - 1$ with respect to the train A) as observed by a man standing on the

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Solution

a. $_{B A}$ = $_{B}$ - $_{A}$
Hence, velocity of train B w.r.t train A is 144 km/h toward south.

b. Velocity of ground w.r.t. B
$v_{g, B} = v_{g} - v_{B}$ = 0 - 90$
$v_{g, B}$ = -90 km/h
Hence, velocity of ground w.r.t train B is 90 km/h towards north.
c. $_{m, g}$ = $_{m, A}$ + $_{A g}$ = 18 - 54 = -36 km/h
Hence, velocity of monkey will be 36 km/h toward north.

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Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km/h and train B moves south with a speed of 90 km/hr. What is the velocity of a monkey running on the roof of the train A against its motion (with its velocity of 18 km/h with respect to the train A) as observed by a man standing on the ground?

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