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AP® Physics 1 & 2

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Difficult

Water Fountains Height Ranking

APPH12-X9HK2O

Four water fountains are in a garden and shoot water straight up into the air. Each is supplied with water from a separate hose; however, the velocity of the water in each pipe is 5 m/s.

  • Fountain A has the diameter of the pipe measured as $3.50\text{ cm}$ and the diameter for the nozzle measured as $0.90\text{ cm}$.

  • Fountain B has the diameter of the pipe measured as $3.00\text{ cm}$ and the diameter of the nozzle measured as $1.40\text{ cm}$.

  • Fountain C has the diameter of the pipe measured as $2.00\text{ cm}$ and the diameter of the nozzle measured as $0.80\text{ cm}$.

  • Fountain D has the diameter of the pipe measured as $2.50\text{ cm}$ and the diameter of the nozzle measured as $1.00\text{ cm}$.

Which is the correct ranking of the height of the water from highest to lowest?

A

A > B > D > C

B

B > D > A > C

C

A > C = D > B

D

D = C = B = A