Question

If displacement of a body s=(200+_5) metees and time taken by it t=(20+-0.2)seconds then fi d the percentage in the calculation of elocity

Answer 1

Percentage error in the calculation of velocity =>

$\frac{dv}{v} = \frac{ds}{s} + \frac{dt}{t} \\ \frac{dv}{v} = \frac{5}{200} + \frac{0.2}{20}$

v = s/t = 200/20 = 10

$\frac{dv}{10} = \frac{5 + 2 }{200} \\ 200dv = 70 \\ dv = \frac{70}{200} = 0.35$

So

Percentage error in finding the velocity will be 0.35/10 = 0.035 %