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If you throw a ball into the air it goes up reaches a peak then comes back down. The amount of time to reach the peak is exaclty the same amount of time for the ball to fall back down from the peak.
So half of the total time of flight is where it peaks at max height.
This is due to the uniform acceleration from gravity that slows the ball down on the way up to the peak at exactly the same rate that it speeds up on the way back down.
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