Using Torricelli's Principle, it can be shown that the depth d of a liquid in a bottle with a hole of area 0.5 cm2 in its side can be approximated by

Question

d = 0.0034t2 − 0.52518t + 20,
where t is the time since a stopper was removed from the hole. When will the depth be 13 cm? Round to the nearest tenth of a second

Answer 1

Substitute d with 13. Then solve the resulting quadratic equation.

13 = 0.0034t^2 - 0.52518t + 20

Answer 2

The depth d of a liquid in a bottle with a hole of area 0.5 cm2 in its side can be approximated by
d = 0.0034t2 − 0.52518t + 20,
where t is the time since a stopper was removed from the hole. When will the depth be 10 cm? Round to the nearest tenth of a second.