Question

I need help calculating uncertianties for

Distances

d and del y- least scale division

Times t0, t, and del t- least scale division

del t^2 propagation of uncertainty power (power rule)

Please explain what all of this means and how to do each one. Here is my data,

t (s υο (m/s) | Δy (m) 10 5.1 15 11.47 to (s) 1.02 Δt (s) (Δt)2 (52) 1.04 2.04 1.02 1.53 3.06 1.53 2.34 20 20.39 2.04 4.08 2.04 4.16 25 31.86 2.55 5.10 2.55 6.50 30 45.87 3.06 6.12 3.06 9.36

Answer 1

Problem: calculation of uncertainties : Given datus are listed below in table Vo (m/s) ay (m) to (s) at (s) At (s) (ot) (5²) To 5.1 1.02 2.04 1.02 1:04 15 11.47 1.53 3.07 1.53 2:34 20 20.39 2.04 4:08 2.04 4:16 25 31.86 2.55 5r10 2:55 6.50 30. 45.87 3.06 6.12 3.06 9,36 d (m) V..(m/s) (Vo) (m/s)? 100 8.83 10 19.86 15 225 35.31 20 400 55:17 25 625 79.45 30 900 Uncer (10x2.04 so on. the formula rtainty in distance d can be calculated using the formula 44 = ( Vo xt - Voxtolla (AY) 10x1,02)/2 10:27 -5.1 similarly can calculate for other values also. Uncertainty in time it time it can be calculated from 1 st t(s) - to (s) (st). 21:02 s so on : (At)? (9.02) - 1104. and so oni py represents the variation in distance traversed by the particle in different amount of time the variation in time. eti square of uncertainty in time. 2.04 1102 A at represents 口