Question

A student measures the distance traversed in free fall of a body , initially at rest in a given time. He uses this data to estimate g , the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively , the percentage error in the estimation of g is
(1) e2-e1
(2) e1+2e2
(3) e1+e2
(4) e1-2e2

Answer 1

Answer on question #60160, Physics / Mechanics — Relativity

Question A student measures the distance traversed in free fall of a body , initially at rest in a given time. He uses this data to estimate $g$ , the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are $e_{1}$ and $e_{2}$ respectively , the percentage error in the estimation of g is

(1) $e_{2}-e_{1}$

(2) $e_{1}+2e_{2}$

(3) $e_{1}+e_{2}$

(4) $e_{1}-2e_{2}$

Solution As $g$ is measured in m/s^{2}, correct answer is:

(2) $e_{1}+2e_{2}$.