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A body travels uniformly a distance of (...

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.

Text Solution

Verified by Experts

Given : distance `s=(13.8 pm 0.2)m` and time `t = (4.0 pm 0.3)s`,
velocity `v=(s)/(t)=(13.8)/(4.0)=3.45ms^(-1)=3.5ms^(-1)`
`(DeltaV)/(V)=pm((Deltas)/(s)+(Deltat)/(t))=pm((0.2)/(1143.8)+(0.3)/(4.0))=pm((0.8+4.14)/(13.8xx4.0))=pm(4.49)/(13.8xx4.0)=pm 0.0895`
`rArr Delta V = pm 0.0895 xx V = pm 0.0895 xx 3.45 = pm 0.3067 = pm 0.31`
`:. v = (3.5 pm 0.31) ms^(-1)`
Percentage error in velocity `= (DeltaV)/(V)xx100=pm0.0895xx100 =pm8.95%=pm 9%`.
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