A body travels uniformly through a distance of (13.8 ± 0.2) m in a time duration of (4.0 ± 0.3) s. The velocity of the body within error limit is:

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(3.45 ± 0.3) ms^-1

(3.45 ± 0.5) ms^-1

(3.45 ± 0.2) ms^-1

(3.45 ± 0.4) ms^-1

answer is B.

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Detailed Solution

$\begin{aligned} \frac{Δv}{v} = \frac{Δd}{d} + \frac{Δt}{t} = \frac{0.2}{13.8} + \frac{0.3}{4.0} = 0.089 \\ ΔV = 0.089 \times 3.45 = 0.30 (∵ \frac{13.8}{4} = 3.45) \\ ∴ Velocity = (3.45 \pm 0.3) m / s \end{aligned}$

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