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AP EAMCET Engineering 2011 Solved Paper
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© examsnet.com
Question : 7
Total: 160
A police party is moving in a jeep at a constant speed
v
.
They saw a thief at a distance
x
on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration
a
. Which of the following relations is true if the police is able to catch the thief?
v
2
<
a
x
v
2
<
2
a
x
v
2
≥
2
a
x
v
2
=
a
x
Validate
Solution:
Let the police party catch the thief after t second.
∴
Distance travelled by police party in
t
second
=
v
t
and distance travelled by thief
=
x
+
1
2
α
t
2
So,
x
+
1
2
α
t
2
≤
v
t
Or
α
t
2
2
−
v
t
+
x
=
0
or
t
=
v
±
√
v
2
−
2
α
x
α
For
t
to be real,
v
2
≥
20
x
© examsnet.com
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