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JEE Main Physics Class 11 Motion in a Straight Line and Plane Part 1 Questions
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© examsnet.com
Question : 84
Total: 100
A body is at rest at
x
=
0
. At
t
=
0
, it starts moving in the positive
x
- direction with a constant acceleration. At the same instant another body passes through
x
=
0
moving in the positive
x
-direction with a constant speed. The position of the first body is given by
x
1
(
t
)
after time '
t
'; and that of the second body by
x
2
(
t
)
after the same time interval. Which of the following graphs correctly describes
(
x
1
−
x
2
)
as a function of time
′
t
′
?
2008
Validate
Solution:
For the body starting from rest, distance travelled
(
x
1
)
is given by
x
1
=
0
+
1
2
a
t
2
⇒
x
1
=
1
2
a
t
2
For the body moving with constant speed
x
2
=
v
t
∴
x
1
−
x
2
=
1
2
a
t
2
−
v
t
at
t
=
0
,
x
1
−
x
2
=
0
This equation is of parabola.
For
t
<
v
a
;
the slope is negative
For
t
=
v
a
;
the slope is zero
For
t
>
v
a
;
the slope is positive
These characteristics are represented by graph (b).
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