A body is at rest at 
. At 
, it starts moving in the positive 
-direction with a
constant acceleration. At the same instant another body passes through 
moving in the positive 
-direction with a constant speed. The position of the first body is given by 
after time 
and that of the second body by 
after the same time interval. Which of the following graphs correctly describes 
as a function of time ' t '?
Text Solution
Verified by ExpertsB
At 
the first body starts moving with constant acceleration while the second body is
already moving with certain constant speed. So the distance covered by the first body 
is smaller that covered by the second body 
i.e., 
or 
negative till the first body attains the speed equal to that of second body. At that instant 
or 
and after that 
i.e., Thereafter, the separation 
increases till it 
positive and goes on increasing with increasing t.
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