The position-time graphs for two students A a | vedclass

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Question

(A) $1$. The position-time graph shows the distance from the school on the $x$-axis and time on the $t$-axis. The school is at the origin $(x=0)$.$2$.

Vedclass · Accepted Answer

$(A)$ and $(E)$ only

Vedclass · Answer

(A) $1$. The position-time graph shows the distance from the school on the $x$-axis and time on the $t$-axis. The school is at the origin $(x=0)$.$2$. The point where the graph intersects the $t$-axis represents the time when the student starts their journey. Since $B$ starts later than $A$,and the graph for $A$ reaches the $x$-axis intercept (home) at a lower $x$ value compared to $B$ at the same time,we analyze the intercepts.$3$. Looking at the graph,the $x$-intercept for $A$ is lower than the $x$-intercept for $B$. Thus,$A$ lives closer to the school. Statement $(A)$ is correct.$4$. The slope of the position-time graph represents velocity $(v = dx/dt)$. Since the slope of line $B$ is greater than the slope of line $A$,$B$ travels faster than $A$. Statement $(E)$ is correct.$5$. Therefore,statements $(A)$ and $(E)$ are correct.

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