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A particle starting from rest and moving...

A particle starting from rest and moving under constant force displaces by `s_(1)` in time t. It shall displace further by distance `s_(1)` in time from t to 2t, then what is true?

A

`s_(2)= 2s_(1)`

B

`s_(2)= 3s_(1)`

C

`s_(2)= 4s_(1)`

D

`s_(2)= (s_(1))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
From Eq. of motion,
`s= ut + (1)/(2)at^(2)`
`s_(1)= (1)/(2)at^(2)`
Now, `s_(2)= 0+(1)/(2)a(2t)^(2)- s_(1)= 2at^(2)- (1)/(2)at^(2)`
`s_(2)= (3)/(2) at^(2)`
`s_(2)= 3S_(1)`
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