A body travels uniformly a distance of `(13.8pm0.2)` m in a time `(4.0pm0.3)` S. The velocity of the body within error limit is

Options

A. `(3.45 pm 0.2) ms^(-1)`
B. `(3.45 pm 0.3) ms^(-1)`
C. `(3.45 pm 0.4) ms^(-1)`
D. `(3.45 pm 0.5) ms^(-1)`

Answer

B

Explanation

Distance (d)` = (13.8 pm 0.2)m`
Time `(t) = (4.0 pm 0.3)` sec
Velocity(v) =`d/t = (13.8)/(4.0) =3.45 m//s`
`(Deltav)/v =(Deltad)/d +(Deltat)/t implies Detlav=[(0.2)/(13.8)+(0.3)/(4.0)]xx3.45`
`= 0.27 ~~ 0.3 , :. V = (3.45 pm 0.3)m// s.`