Two parallel rail tracks run north-south. Tra | vedclass

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(D) Let the positive direction of the $x-$axis be from south to north.Then,the velocity of train $A$ is $v_{A} = +54 \; km \; h^{-1} = 54 	imes \frac

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The train $B$ appears to $A$ to move with a speed of $40 \; m \; s^{-1}$ from north to south.

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(D) Let the positive direction of the $x-$axis be from south to north.Then,the velocity of train $A$ is $v_{A} = +54 \; km \; h^{-1} = 54 	imes \frac{5}{18} \; m \; s^{-1} = +15 \; m \; s^{-1}.$The velocity of train $B$ is $v_{B} = -90 \; km \; h^{-1} = -90 	imes \frac{5}{18} \; m \; s^{-1} = -25 \; m \; s^{-1}.$The relative velocity of $B$ with respect to $A$ is given by $v_{BA} = v_{B} - v_{A}.$Substituting the values,$v_{BA} = -25 \; m \; s^{-1} - (+15 \; m \; s^{-1}) = -40 \; m \; s^{-1}.$The negative sign indicates that the train $B$ appears to $A$ to move with a speed of $40 \; m \; s^{-1}$ from north to south.

Two parallel rail tracks run north-south. Train $A$ moves north with a speed of $54 \; km \; h^{-1},$ and train $B$ moves south with a speed of $90 \; km \; h^{-1}.$ What is the velocity of $B$ with respect to $A$?

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