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(B) Let the velocities of the two cars be $v_A$ and $v_B$. The relative velocity of car $A$ with respect to car $B$ is given by $v_{AB} = v_A - v_B$.I

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When they move in the same direction.

Vedclass · Answer

(B) Let the velocities of the two cars be $v_A$ and $v_B$. The relative velocity of car $A$ with respect to car $B$ is given by $v_{AB} = v_A - v_B$.If both cars move in the same direction,the relative velocity is the difference between their individual velocities,i.e.,$|v_A - v_B|$,which is less than the individual velocity of either car (assuming $v_A, v_B > 0$).If they move in opposite directions,the relative velocity is $|v_A + v_B|$,which is greater than the individual velocity of either car.Therefore,the relative velocity is less than the individual velocity when both cars move in the same direction.

When is the relative velocity of two cars moving with unequal velocities less than the individual velocity of either car?

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