Question

The+distance+travelled+by+an+object+in+time+(100+-1)s+is+(5.2+-0.1)m+what+is+the+speed+and+its+error

Answer 1

distance (a) = 5.2 ± 0.1 m

time (b) = 100 ± 1 sec

let speed be c

$so \: c = \frac{a}{b}$

$here \\ inaccurate \: speed \: = \frac{inaccurate \: distance}{inaccurate \: time}$

$c_{inaccurate} = \frac{5.2}{100} \\ c_{inaccurate} = 0.052 \: m {s}^{ - 1}$

now,

we know that,

(∆c/c) = (∆a/a) + (∆b/b)

(∆c/c) = (0.1/5.2) + (1/100)

(∆c/c) = (0.019) + (0.01)

(∆c/c) ≈ 0.029

Hence, the speed is 0.052 m/s and the error in it is 0.029.