Question

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?

Answer 1

$V=\frac{distance}{time}=\frac{13.8}{4.0}=3.45$

$\frac{\Delta v}{v}=\frac{\Delta d}{d}+\frac{\Delta t}{t}=\frac{0.2}{13.8}+\frac{0.3}{4.0}=0.089$

$\Delta V=0.089\times 3.45=0.30$

$\therefore$ Velocity $=(3.45\pm 0.3)m/s$

percentage error $=\frac{\Delta V}{V}\times 100=0.089\times 100=8.9$%