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Byju's Answer
Standard XI
Physics
Acceleration at constant speed
If the veloci...
Question
If the velocity of a body related to displacement
x
is given by
v
=
√
5000
+
24
x
m/s
,
then the acceleration of the body is _____
m/s
2
.
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Solution
Given :-
v
=
√
5000
+
24
x
m/s
Differentiating both side with respect to
x
,
d
v
d
x
=
1
2
√
5000
+
24
x
×
24
d
v
d
x
=
12
√
5000
+
24
x
Multiplying both sides by
v
v
d
v
d
x
=
12
v
√
5000
+
24
x
a
=
12
√
5000
+
24
x
√
5000
+
24
x
(
∵
v
d
v
d
x
=
a
)
∴
a
=
12
m/s
2
Correct answer
:
12
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0
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5000
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