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Lena and Mei dive from an overhang into the lake below. Mei simply drops straight down from the edge, but Lena takes a running start and makes a dashing jump with an initial horizontal velocity of 25 m/s. Neither person experiences any significant significant air resistance. Who reaches the lake below first? Lena and Mei reach the lake at the same time. Lena reaches the lake first. Mei reaches the lake first. It is impossible to know without knowing their masses.

Question

Lena and Mei dive from an overhang into the lake below. Mei simply drops straight down from the edge, but Lena takes a running start and makes a dashing jump with an initial horizontal velocity of 25 m/s. Neither person experiences any significant significant air resistance. Who reaches the lake below first? Lena and Mei reach the lake at the same time. Lena reaches the lake first. Mei reaches the lake first. It is impossible to know without knowing their masses.

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Solution

Lena and Mei reach the lake at the same time. This is because the time it takes for an object to fall due to gravity is independent of its horizontal velocity. In other words, the horizontal and vertical motions of an object are independent of each other. Therefore, even though Lena has an initial horizontal velocity, it does not affect the time it takes for her to reach the lake.

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