In a uniformly accelerated motion from rest a body travels a distance x in first two seconds and a distance y
in next two seconds. The relation between x and y is
A) y = 4x B) y = x
C) y = 3x D) y = 2x
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Answer:
Correct option is C)
→ Distance Travelled in 2 sec
S=ut+
2
1
at
2
u=0t=2$$
∴x=0+
2
1
a2
2
=x=2a⇒a=
2
x
Distance travelled in 4 sec Distance travelled in 2 sec= Distance travelled in next 2 sec
∴y=
2
a
(4)
2
−
2
a
(2)
2
=8a−2a=6a
∴y=6a⇒y=6
2
(x)
[∵x=2a a=
2
x
]
∴y=3x
Answer is C
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