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Byju's Answer
Standard IX
Physics
Speed / Velocity Time Graphs
Velocity v ...
Question
Velocity (
v
) vs. displacement
(
s
)
graph of a freely falling body is:
A
Straight line passing through the origin
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B
Straight line interesting
X
and
Y
axes
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C
Parabola
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D
Hyperbola
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Solution
The correct option is
C
Parabola
Free falling body has constant acceleration,
a
=
g
.
Therefore:
v
d
v
d
s
=
g
⇒
v
d
v
=
g
d
s
⇒
∫
v
u
v
d
v
=
∫
s
0
g
d
s
⇒
v
2
−
u
2
2
=
g
s
⇒
v
2
=
u
2
+
2
g
s
As distance is proportional to square of velocity therefore graph will be a parabola.
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