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 :

Options

A. `1 ms^-2`
B. `2 ms^-2`
C. `3 ms^-2`
D. `4 ms^-2`

Answer

B

Explanation

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`.