# construct mathematical model for given problem

suppose that we have following problem suppose that ball is dropped from upper observation deck of the CN tower,450 meter from the ground,and distance h is given in 1 second interval

Time Height

0        450
1        445
2        431
3        408
4        375
5        372
6        279
7        216
8        143
9         61


this is problem taken from calculus book,as graph was given it was clear that linear model was not suitable,so author choosed quadratic model i have tried to get the same result as author had which is expressed like this

h=449.36+0.96*t-4.90*t^2 but when i have wrote quadratic form y=a*x^2+b*x+c and put first three x values,got y=-4.5*x^2+0.5*x+450 i am interested how accurate and correct it is?

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Did you happen to try doing least squares? –  Ｊ. Ｍ. Dec 9 '11 at 13:05
least squares unfortunately have not tried –  dato datuashvili Dec 9 '11 at 13:09
I think you've made a mistake in the entry corresponding to Time = 5. Can you double check it? –  Chris Taylor Dec 9 '11 at 13:24