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course PHY 201

I'm not certain, but I may have already submitted this.

The following are simulated depth vs. clock time data for the flow experiment: clock t 5.3 10.6 15.9 21.2 26.5 31.8

depth 63.7 54.8 46 37.7 32 26.6

Clock times are in seconds, depths in cm.

Using a graph and simulaneous linear equations find a model for this data set and compare your model with the data.

depth vs. clock time data points (10.6, 54.8) (21.2, 37.7) (31.8, 26.6)

112.36a + 10.6b + c = 54.8 ; 449.44a + 21.2b + c = 37.7 ; 1011.24a + 31.8b + c = 26.6

parameters a = .0267, b = -2.4623 and c = 77.9004

y= .0267t^2 - 2.4623t + 77.9004

At 46 seconds the predicted depth is 21.1318cm

The model fits the data.