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If body travels half of its path in the ...

If body travels half of its path in the last second of its fall from rest, find the time and height of its fall.

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To solve the problem of a body falling from rest and traveling half of its path in the last second of its fall, we can follow these steps: ### Step 1: Understanding the Problem We need to find the time of fall (T) and the height (h) of the fall. The body is dropped from rest, which means its initial velocity (u) is 0. The distance traveled in the last second is half of the total distance traveled. ### Step 2: Using the Equation of Motion The distance traveled in the nth second of motion can be given by the formula: \[ ...
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