Sciency Shit

In: Science

Submitted By quickdice
Words 591
Pages 3
Acceleration of free falling metal ball
Brian Ahn
November 11, 2013

Raw Data

<Table of time taken for ball to reach ground in different heights>

Height (m) ± 0.005 m | Time taken (s) ± 0.01 s | | Trial 1 | Trial 2 | Trial 3 | 0.5 | 0.35 | 0.35 | 0.33 | 1.0 | 0.45 | 0.43 | 0.40 | 1.5 | 0.53 | 0.44 | 0.47 | 2.0 | 0.56 | 0.56 | 0.53 | 2.5 | 0.72 | 0.64 | 0.72 | 3.0 | 0.75 | 0.76 | 0.79 | 3.5 | 0.77 | 0.84 | 0.78 |

Processing Data

<Table of average time taken for ball to reach ground in different heights>

Height (m) ± 0.005 | Average time taken (s) | 0.5 | 0.34 ± 0.01 | 1.0 | 0.43 ± 0.03 | 1.5 | 0.48 ± 0.05 | 2.0 | 0.55 ± 0.02 | 2.5 | 0.69 ± 0.04 | 3.0 | 0.77 ± 0.02 | 3.5 | 0.80 ± 0.04 |

Average of the time taken is (t1 + t2 + t3) ÷ 3

Uncertainty for the time taken is (tmax– tmin) ÷ 2

Average of the time taken in height 1 is (0.45 + 0.43 + 0.40) ÷ 3 = 0.42667 ≅ 0.43 (to two significant figures)

Uncertainty for the time taken in height 1 is (0.45 – 0.40) ÷ 2 = 0.025 ≅ 0.03 (to one significant figure)

<Table of average time taken squared by dropping an object in different heights>

Height (m) ± 0.005 | Average time taken squared (s2) | 0.5 | 0.12 ± 0.007 | 1.0 | 0.18 ± 0.03 | 1.5 | 0.23 ± 0.05 | 2.0 | 0.30 ± 0.02 | 2.5 | 0.48 ± 0.05 | 3.0 | 0.59 ± 0.03 | 3.5 | 0.64 ± 0.06 |

Uncertainty for average time taken squared is 2 × (percentage uncertainty) × (time taken) 2

Uncertainty for average time taken squared in height 0.5 = 2 × (0.01 ÷ 0.34) × 0.342 = 0.0068 ≅ 0.007 (to one significant figures)

Graphs

Graph of processed data

<Height versus average time taken squared for ball to reach ground with best fit drawn>

Gradient of the best linear fit = 0.19 (to two significant figures)

< Height versus average time taken squared for ball to reach…...

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