course Mth 173
y = .015 t^2 - 1.7 t + 93y ' = .03 t - 1.7 ---rate of depth function
t = 13.9
t = 27.8
change in t = 13.9
UNIVERSAL FORMULA = 2at + b
2 ( .03) (13.9) – (1.7) = .834 – 1.7 = -.866
½ between =
2(.03)(20.85) – 1.7 = -.449
The clock time half way between is 20.85 s
R(t) = .193 t – 2.1-----rate of depth function
R(t) = .0965t^2 – 2.1t + c -----original depth function
R(t) = .193t – 2.1
= .193 (13.9) – 2.1 = .5827 divided by 2 = 1.924
=.193 (27.8) – 2.1 = 3.2654
Function where depth will be 130 when t=0
Y = .15t^2 + 1.7 t + 130
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