The position-time graph for two children, 
and 
, returning from their school 
to their
homes 
and 
, respectively, are shown in figure. From the following given statements, state True (T) and False (F).
(i) 
lives closer to the school than 
.
(ii) 
starts earlier than 
.
(iii) 
walks slower than 
.
(iv) 
and 
reach home at the same time.
(v) 
overtakes 
on the road once.
Text Solution
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(i) 
lives closer to the school than 
(as 
is close to 
than 
)
(ii) 
starts earlier than 
( 
starts when time 
)
(iii) 
walks faster than 
(slope of 
is greater than the slope of 
)
(iv) 
and 
reach home at the same time 
(as shown by dotted lines in the graph)
(v) 
overtakes 
on the road once (as graphs for 
and 
intersect only at one point 
.)
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