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Check my answer? Two objects are launched horizontally from a cliff, one of them is launched at a much higher velocity. Which object will hit the ground first?
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The faster one The slower one They will hit at the same time <--- My answer
You are correct. When analysing two-dimensional motion, the vertical motion and horizontal motion are independent of one another. In your question, both objects are under the influence of gravity alone in the vertical direction. Since they are "falling" from the same height, they will hit the ground at the same time.
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