Question 118531
the general equation is h=at^2+bt+c


by plugging in values from the table, you can find the values for a, b, and c


when t=0, h=c ___ so c=2


when t=1, 97=a+b+2 ___ 95=a+b ___ 95-a=b


when t=2, 182=4a+2b+2 ___ 180=4a+2b ___ 90=2a+b


substitution gives 90=2a+(95-a) ___ -5=a ___ 95-(-5)=b ___ 100=b


h=-5t^2+100t+2


in the real world, the a term is half the gravitational acceleration (negative because gravity is downward)
___ the b term is the initial velocity of the flare
___ and the c term is the initial height (probably the height of the person shooting the flare)