F=ma 2019 Part A Problem 25

A car is turning left along a circular track of radius r at a constant speed v. A cylindrical beaker is placed vertically inside the car. The beaker has a small hole on its right side. If the water’s highest point in the beaker is a height h above the hole, at what instantaneous speed does water escape the hole, from a passenger’s perspective?

Answer Choices
A. \sqrt{2 g h}
B. \sqrt{\left(v^{2} / r\right) h}
C. \sqrt{g h}
D. \sqrt{h \sqrt{\left(v^{2} / r\right)^{2}+g^{2}}}
E. \sqrt{2 h \sqrt{\left(v^{2} / r\right)^{2}+g^{2}}}