Investigation of free fall.

Presentation & Analysis Of Results Ascertained: Table 1 ~ The table depicts the results obtained and manipulated to calculate mathematically the uncertainties of displacement, time and the total percentagerelative error. No. Of Blocks Time (s) Average Time (s) Uncertainty For Time (s) Percentage Relative Error (%) 10 0.71 0.61 0.69 2.01 / 3 = 0.67 + 0.03 + 4.47 15 0.78 0.71 0.83 2.32 / 3 = 0.77 + 0.03 + 3.89 20 0.83 0.94 0.90 2.67 / 3 = 0.89 + 0.03 + 3.37 25 1.04 1.05 1.07 3.16 / 3 = 1.05 + 0.03 + 2.85 30 1.15 1.07 1.10 3.32 / 3 = 1.11 + 0.03 + 2.70 35 1.08 1.22 1.21 3.51 / 3 = 1.17 + 0.03 + 2.56 40 1.44 1.41 1.29 4.14 / 3 = 1.38 + 0.03 + 2.17 Time Squared (s2�) 0.45 0.59 0.79 1.10 1.23 1.37 1.90 Presentation & Analysis Of Results Ascertained: Table 2 ~ The table depicts the Uncertainties and Percent Relative Error for Time Squared (s2) Derivation Of The Gradient Of The Graph Of Time Against Displacement Derivation One (1): Δd d1 - d0 30.0

Velocity Rims

Not pi

Reconstructed speeds of taxis with customers only

- 0 30.0 + 0.10 V1 = = = = = 28.3 cm s-1 + 0.13 Δ t t1 - t0 1.06 - 0 1.06 + 0.03 Derivation Two (2): Δd d2 - d1 60.0 - 30.0 30.0 + 0.20 V2 = = = = = 37.5 cm s-1 + 0.26 Δ t t2 - t1 1.86 - 1.06 0.80 + 0.06 Derivation Three (3): Δd d3 - d2 90.0 - 60.0 30.0 + 0.20 V2 = = = = = 88.2 cm s-1 + 0.26 Δ t t3 - t2 2.20 - 1.86 0.34 + 0.06 Derivation Four (4): Δd d4 - d3 120.0 - 90.0 30.0 + 0.20 V2 =...