Question

2. You want to measure how long it takes for a ball dropped from the roof of a building to fall between the 10th and 5th floor. To do this, you set up timers on the 10th and 5th floors and acquire the following data for the time taken for the ball to fall from the roof to each location Roof to 10th floor (s) Roof to 5th floor (s) 3.513 4.492 3.495 4.432 3.520 4.510 3.480 4.485 4.500 3.505 How long does it take for the ball to fall between the 10th and 5th floor (with uncertainty) (4 marks)

Answer 1

ime from roof to 10th Floor (ti) .513, 3.495, 3.520, 3.480, 3.505 Mean Value / True value True value t = 3.513+3.495 +2.520+ 3.480 +3.505 t = 3.503 seconds Error in Ist Reading & At = 3.503-3.5133 Error in 2nd Reading = At2=3.50 Error in 3rd Reading =Atz = 3.50 Error in 4th Reading sty = 3.503- Error in 5th Reading sts = 3.503-3.505 =-0.0 Meon absolute Error (A tym = 131 영어 9 3.503 - 3.513 = -0.010 ding = Atz=3.50 -3.495 = +0.008 3 = 3.503-3.520 = -0.017 eading sty = 3.503-3.480 40.023 e Error (Atom = lstil + lotal tota) + lotullots 5 = 0.010+0.008+0.017+0.0234 0.002 5 (Atim = 0.012 seconds Measured value of to= (3.503 +0.012) see Time from roof to 5th floor (to) 4.492, 4.432, 4.510, 4.485 4.500 Mean value / Tone volue = 4,492+ 4.432+ 4.510+ 6.485 +4.500 5 t = 4.484 seconds Essor in Ist Reading ay = 4.484-4.4925- Error in 2nd Reading at = 4:484 -4.432 = +0.052 Error in 3rd Reading At = 4:484 - 4.510=-0.026 Error in 4th Reading sty = 4.484 - 4.485=-0.001 Groor in 5th Reading Ats = 4.484 - 4.500 = -0.016 mean absolute essor at t2m= 1 Ats) + (At) totalt ptyltats of tz

(Atm = 0.008+ 0.052+0.026to.ool to old (st) n = 0.018 se conti measured value of tz = (4.484 t 0.018) see Time taken by ball to reach - from 10th flood to sth oth = - ta - t = ((1.484-3.503) + 10.012 + 0.018)) = (0.981 – 0.03) = (0.981 ± 0.03) seconds