You hold a plastic bottle of water upright in your hand, and carefully poke a small hole in the bottom of the bottle with a nail. Assume viscosity can be neglected.

Use g = 9.80 m/s².

Part A:The bottle is filled with water to a height of 34.0 cm. When you remove the cap from the bottle, what is the speed at which the water emerges from the hole?
_______ m/

Part B: As the water level falls in the bottle, the speed of the water emerging from the hole decreases. When the speed has fallen to 65.0% of the value you found in (a), what is the height of the water that remains in the bottle?
_______ cm