Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.
For this case we have the following equation: h (t) = - 12t2 + 36t When the object hits the ground we have: - 12t2 + 36t = 0 We look for the roots of the polynomial: t1 = 0 t2 = 3 Therefore, the time it takes the object to hit the ground is: t = 3 s Answer: the time when the object hits the ground is: t = 3 s