You can reason that the time required for a ball to fall is related to the height from which it falls and to the acceleration due to gravity. Time is measured in seconds, height in meters, and gravitational acceleration in meters per second squared. Using dimensional analysis, determine how the time to fall from height $\mathrm{h}$ compares to the time required to fall from height $2 \mathrm{~h}$.
A) It takes $\sqrt{2}$ times as long.
B) It takes $1 / 4$ as long.
C) It takes 2 times as long.
D) It takes $1 / 2$ as long.
E) It takes 4 times as long.
F) It takes $\frac{1}{\sqrt{2}}$ as long.

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The Answer of  You can reason that the time required for a ball to fall is related to the height from which it falls and to the acceleration due to gravity. Time is measured in seconds, height in meters, and gravitational acceleration in meters per second squared. Using dimensional analysis, determine how the time to fall from height $\mathrm{h}$ compares to the time required to fall from height $2 \mathrm{~h}$.
A) It takes $\sqrt{2}$ times as long.
B) It takes $1 / 4$ as long.
C) It takes 2 times as long.
D) It takes $1 / 2$ as long.
E) It takes 4 times as long.
F) It takes $\frac{1}{\sqrt{2}}$ as long.

You Can Reason That the Time Required for a Ball h\mathrm{h}h

You Can Reason That the Time Required for a Ball $\mathrm{h}$