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A body starting from rest moving with un...

A body starting from rest moving with uniform acceleration has a displacement of `16 m` in first `4` seconds and `9 m` in first `3` seconds. The acceleration of the body is :

A

`1 ms^-2`

B

`2 ms^-2`

C

`3 ms^-2`

D

`4 ms^-2`

Text Solution

Verified by Experts

The correct Answer is:
B

Distance traveled in `4th` second `= 16 - 9 = 7 m`
Now `D_n = u + (a)/(2) (2n - 1)` Given `u = 0`
`rArr 7 = 0 + (a)/(2) (2 xx 4 - 1) rArr a = 2 m//s^2`.
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