A body covers 20 m, 22 m, 24 m, in `8^(th)`, `9 ^(th)` and `10^(th)` seconds respectively. The body starts

Options

A. from rest and moves with uniform velocity.
B. from rest and moves with uniform acceleration.
C. with an initial velocity and moves with uniform acceleration.
D. with an initial velocity and moves with uniform velocity.

Answer

C

Explanation

As distance travelled in successive seconds differ by 2 m each, therefore acceleration is constant = `2 m s^(-2)`
From `D_n` = u + a/2 (2n - 1) `therefore` `D_8 = u + 2/2 (2 xx 8 - 1)`
20 = u + 15 or u = `5 m s^(-1)`