The maximum height reached by an object thrown directly upward is directly proportional to the square of the velocity

The maximum height reached by an object thrown directly upward is directly proportional to the square of the velocity with which the object is thrown. If an object thrown upward at 16 feet per second reaches a maximum height of 4 feet, with what velocity must the object be thrown upward to reach a maximum height of 9 feet?

A. 12 feet per second
B. 16 feet per second
C. 18 feet per second
D. 24 feet per second
E. 48 feet per second

Answer: D

Source: Manhattan GMAT

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