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Question
read the text about a person in motion. eve and her friends took turns diving off a dock into a lake. when eves turn came, she dove off the dock and plunged into the water. once she caught her breath, eve swam across the flat surface of the lake toward the shore. when was the most gravitational potential energy stored between eve and earth? assume that eves mass did not change. when she was waiting to dive off the dock when she was about to hit the water when she was swimming toward the shore
Step1: Recall gravitational - potential energy formula
The gravitational - potential energy formula is $U = mgh$, where $m$ is mass, $g$ is the acceleration due to gravity, and $h$ is the height above the ground (or water level in this case).
Step2: Analyze each situation
When waiting to dive off the dock, Eve is at the highest height $h$ relative to the water level. When about to hit the water, $h$ is close to 0. When swimming toward the shore, she is at water - level, so $h = 0$. Since $m$ and $g$ are constant, the higher the $h$, the greater the $U$.
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when she was waiting to dive off the dock