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Standard IX

Physics

Velocity-Time Graphs

The figure sh...

Question

The figure shows x-t graphs of two cars A and B. The velocity of car A with respect to car B will be

+5 m/s

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-2.5 m/s

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-5 m/s

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+2.5 m/s

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Solution

The correct option is B
-2.5 m/s

The slope of graph determines the velocity of car A and B.
Velocity of car A, $V_{A}$ = $\frac{(15 - 0)}{(6 - 0)}$ = 2.5 $\frac{m}{s}$
Velocity of car B, $V_{B}$ = $\frac{(15 - 0)}{(6 - 3)} = 5 \frac{m}{s}$
Velocity of Car A with respect to B, $V_{A B}$ = $V_{A} - V_{B}$
$V_{A B}$ = 2.5 -5 = -2.5 $\frac{m}{s}$ .

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The figure shows x-t graphs of two cars A and B. The velocity of car A with respect to car B will be

The correct option is B -2.5 m/s The slope of graph determines the velocity of car A and B. Velocity of car A, VA = (15−0)(6−0) = 2.5ms Velocity of car B,VB = (15−0)(6−3)=5ms Velocity of Car A with respect to B, VAB = VA−VB VAB = 2.5 -5 = -2.5ms.