If a car travels 30 m and 26 m in its `7^(th)` and 6th second of its travel respectively, then the initial velocity and acceleration of the body is

Options

A. `4 m//s, 4 m//s^2 `
B. `6 m//s, 4 m//s^2 `
C. `0 m//s, 4 m//s^2`
D. `10 m//s, 8 m//s^2`

Answer

A

Explanation

`S_(nth) = u + a//2(2n - 1)`
So, `30 = u + a/2 xx (2 xx 7 - 1)`
`26 = u + a/2 xx (2 xx 6 -1)`
`implies 4 = a/2 xx (13 - 11)`
`implies a = 4 m//s^2`
`implies 30 = u + 2 xx 13`
`implies u = 4 m//s`