A body travels uniformly a distance of `( 13.8 +- 0.2) m` in a time `(4.0 +- 0.3) s`. Find the velocity of the body within error limits and the percentage error.

Explanation

Here `S = ( 1.38 +- 0.2 ) cm , t = ( 4.0 +- 0.3 ) s`
` V = (13.8)/(4.0) = 3.45 ms^(-1)`
`(Delta V)/( V) = +- (( Delta S )/( S) + ( Delta t)/( t) ) = +- ((0.2)/(13.8) + (0.3)/(4.0)) = +- 0.0895`
`Delta V = +- 0.0895 xx 3.45 = +- 0.3`
( rounded off to one place of decimal)
`V = ( 3.45 +- 0.3) ms^(-1)`
Percentage error `= ( Delta V)/( V) xx 100 = 0.0895 xx 100 = 8.95 %`