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AIPMT 2007 Physics and Chemistry Paper
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© examsnet.com
Question : 9
Total: 100
The position
x
of a particle with respect to time
t
along
x
-axis is given by
x
=
9
t
2
−
t
3
where
x
is in metres and
t
in seconds. What will be the position of this particle when it achieves maximum speed along the
+
x
direction ?
24
m
32
m
54
m
81
lm
Validate
Solution:
x
=
9
t
2
−
t
3
∴
v
=
18
t
−
3
t
2
⇒
d
v
d
t
=
18
−
6
t
for maximum speed
dv
dt
=
0
, and
d
2
v
dt
2
negative
so
18
−
6
t
=
0
⇒
t
=
3
s
at
t
=
3
s
,
x
=
9
(
3
)
2
−
(
3
)
3
=
81
−
27
=
54
m
© examsnet.com
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