The figure shows the distance-time graph of three objects $A$,$B$,and $C$. Study the graph and answer the following questions:
$(a)$ Which of the three is travelling the fastest?
$(b)$ Are all three ever at the same point on the road?
$(c)$ How far has $C$ travelled when $B$ passes $A$?
$(d)$ How far has $B$ travelled by the time it passes $C$?

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(B) Object $B$.
$(b)$ No,all three objects $A$,$B$,and $C$ never meet at a single point on the graph.
$(c)$ To find the distance $C$ has travelled when $B$ passes $A$:
$1$. Identify the point where $B$ and $A$ intersect. This occurs at a distance of $9 \, km$ from the origin.
$2$. At this time,look at the position of object $C$ on the graph. Object $C$ is at a distance of approximately $7 \, km$ from the origin.
$3$. Object $C$ started at $2 \, km$ from the origin.
$4$. Therefore,the distance travelled by $C$ is $7 \, km - 2 \, km = 5 \, km$.
$(d)$ To find the distance $B$ has travelled by the time it passes $C$:
$1$. Identify the point where $B$ and $C$ intersect. This occurs at a distance of approximately $9.14 \, km$ from the origin.
$2$. Since object $B$ started from the origin $(0 \, km)$,the distance travelled by $B$ is $9.14 \, km - 0 \, km = 9.14 \, km$.

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Similar Questions

Study the given velocity-time graph and answer the following questions:
$(i)$ Which part of the graph shows accelerated motion?
$(ii)$ Which part of the graph shows retarded motion?
$(iii)$ Calculate the distance travelled by the body in the first $4 \ s$ of the journey graphically.

Draw the distance$-$time graph for the following situations:
$(a)$ When a body is stationary.
$(b)$ When a body is moving with a uniform speed.
$(c)$ When a body is moving with non$-$uniform speed.

The diagram shows a velocity-time graph for a car starting from rest. The graph has three sections $AB$,$BC$,and $CD$.
$(i)$ From a study of this graph,state how the distance travelled in any section is determined.
$(ii)$ Compare the distance travelled in section $BC$ with the distance travelled in section $AB$.
$(iii)$ In which section does the car have zero acceleration?
$(iv)$ Is the magnitude of acceleration higher or lower than that of retardation? Give a reason.

Using the following data,draw a time-displacement graph for a moving object:
Time $(s)$$0, 2, 4, 6, 8, 10, 12, 14, 16$
Displacement $(m)$$0, 2, 4, 4, 4, 6, 4, 2, 0$

Use this graph to find the average velocity for the first $4 \, s$,for the next $4 \, s$,and for the last $6 \, s$.

What is the nature of the displacement-time graph of a body moving with constant acceleration?

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