To parallel rail track an north south. Train $A$ moves north with a speed of $54 k m / h$ and train $B$ moves south with a speed of $90 k m / h$ . What is the
Velocity of $B$ with respect to capital $A$ ?
Velocity of ground with respect to $B$ ?
Velocity of monkey running on the roof of train $A$ against its motion with a velocity of $18 k m / h$ with respect to the train $A$ as observe by man standing on the ground?

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Solution

$v_{A} = 15 m / s$
$v_{B} = - 25 m / s$
Velocity of B with respect to A $v_{B A} = - 25 - 15 = - 40 m / s$
Velocity of ground with respect to B $v_{g B} = 0 + 25 = 25 m / s$
Velocity of monkey with respect to A $v_{m A} = v_{m} - v_{A}$
$- 5 = v_{m} - 15$
Velocity of monkey $v_{m} = 10 m / s$
Minus(-) indicates the direction as south

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