The table below shows the height, h(t)\displaystyle {h}{\left({t}\right)}, in meters, of an object that is thrown off the top of a building, t\displaystyle {t} seconds after it is thrown.

t\displaystyle {t}0.511.522.53
h(t)\displaystyle {h}{\left({t}\right)}83.37593.3100.775105.8108.375108.5
A) Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown.
h(t)=\displaystyle {h}{\left({t}\right)}=  
Round all numbers to 1 decimal place.





B) Using your quadratic regression, how high will the object be 2.7 seconds after it is thrown?
Round to 3 decimal places.





C) Using your quadratic regression, how long will it take the object to reach 31 meters?
Round to the 3 decimal places.