A body covers 26, 28, 30, 32 meters in 10^(th), 11^(th), 12^(th) and 13^(th) seconds respectively. The body starts

Options

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

Answer

C

Explanation

`26 = u +(a)/(2) (2xx10-1) =u+(19)/(2) a " "...(i)`
`28 = u + a/2 (2xx10 -1) = u +(19)/(2) a " "(i) `
Subtract (i) from (ii), we get
`28-26 =(21)/(2) a -(19)/2a = a " or " a = 2ms^(-2)`
Substituting this value of a in equation (i) , we get `26 = u +(2)/(2) (19) " or " u = 7ms^(-1)`
Clearly , the body has a non-zero initial velocity and moves with uniform acceleration .