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Question

A body falling for 2 s, covers a distance equal to that covered in the next second. State whether true or false

A
True
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B
False
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Solution

The correct option is B False
Initial speed of the body u=0
Acceleration due to gravity g=10 m/s2
For t=2 s :
Distance covered in 2 s, S2=ut+12gt2
where t=2 s
S2=0+12×10×22=20 m
For t=3 s :
Distance covered in 3 s, S3=ut+12gt2
where t=3 s
S3=0+12×10×32=45 m
So, distance covered in 3rd second S=S3S2=4520=25 m
Thus given statement is false.

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