Question

1. Report the initial heights and flight times, along with any relevant sample statistics 1) The initial heights and flight times are shown below in Figure X. A 20 gram weight was dropped at the varied heights with an initial velocity of zero. height (cm) 100 90 80 70 60 50 40 30 20 10 0.8 0.7 0.6 06 06 0.6 05 04 04 04 time (s) 6 2 8 6 4 0 8 6 4 3 -9.81m 2. Use a least squares approach to estimate the initial velocity using g in use a least squares approach but now to estimate both the initial velocity gravity. 4. Quantify the uncertainty of each estimated parameter justifying your approach calculations.

help pls. Thx

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Answer #1

2) when we use least square and g = 9.81 m/s2

then by using gnuplot

value of initial velocity = -2.9 m/s

] Gnuplot (window id : 0) 1.5 0.5 0.5 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.694664 1.92560 O Type here to search

3)

if we do not use g = 9.81 m/s2

then value of g from least squares is quite off from actual value , may be your data is not right

please verify your data

however fit is like this:

] Gnuplot (window id : 0) 1.2 yu.brt 0.8 0.6 0.4 0.2 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.699550, 0.434203 0.9 O

please rate it up thanks :)

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