The figure shows the position-time (x-t) grap | vedclass

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(D) The correct answer is $(d)$.$1$. The slope of a position-time $(x-t)$ graph represents the velocity (or speed) of the object. $A$ steeper slope in

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$B$ overtakes $A$ on his way to home

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(D) The correct answer is $(d)$.$1$. The slope of a position-time $(x-t)$ graph represents the velocity (or speed) of the object. $A$ steeper slope indicates a higher speed.$2$. From the graph,the line representing boy $B$ is steeper than the line representing boy $A$,which means $B$ walks faster than $A$.$3$. The graph shows that the lines for $A$ and $B$ intersect at a point. This intersection point indicates that at that specific time,both boys are at the same position. Since $B$ starts later but reaches the same position as $A$ and continues to move,it implies that $B$ overtakes $A$ on his way to home.$4$. Therefore,statement $(d)$ is true.

The figure shows the position-time $(x-t)$ graph of the motion of two boys $A$ and $B$ returning from school $O$ to their homes $P$ and $Q$ respectively. Which of the following statements is true?

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