Refer to the graph in the figure. Match the f | vedclass

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(A) To solve this,we analyze the slope of the position-time $(x-t)$ graph,which represents velocity $(v = dx/dt)$,and the curvature,which represents a

Vedclass · Accepted Answer

$(A \rightarrow r, B \rightarrow q, C \rightarrow s, D \rightarrow p)$

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(A) To solve this,we analyze the slope of the position-time $(x-t)$ graph,which represents velocity $(v = dx/dt)$,and the curvature,which represents acceleration $(a = d^2x/dt^2)$.$1$. Graph $(A)$: The curve crosses the $t$-axis at point $B$,where displacement $x = 0$. Thus,$(A) \rightarrow (r)$.$2$. Graph $(B)$: The curve stays above the $t$-axis ($x > 0$ throughout). At the peak $B_1$,the slope is zero $(v = 0)$. There is a point of inflection between $B_1$ and $D_1$ where the curvature changes,implying $a = 0$. Thus,$(B) \rightarrow (q)$.$3$. Graph $(C)$: The slope is always negative $(v  0)$. Thus,$(C) \rightarrow (s)$.$4$. Graph $(D)$: The slope is always positive $(v > 0)$ and the curve is concave down $(a Therefore,the correct matching is $(A \rightarrow r, B \rightarrow q, C \rightarrow s, D \rightarrow p)$.

Refer to the graph in the figure. Match the following:

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