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Question
- darren throws a stone upward. the stone takes 4.40 seconds to reach the ground again. at what time after darren throws the stone will the stone have a vertical velocity of 0 meters per second? 0.00 s never 4.40 s 2.20 s
Step1: Analyze the motion of the stone
The motion of the stone is a projectile motion under gravity. When a stone is thrown upward and then comes back to the ground, the time of ascent is equal to the time of descent.
Step2: Calculate the time when vertical velocity is 0
The total time of flight \(T = 4.40\ s\). The time when the vertical velocity is 0 (at the maximum - height) occurs at the mid - point of the total time of flight. Using the formula \(t=\frac{T}{2}\)
Substitute \(T = 4.40\ s\) into the formula: \(t=\frac{4.40}{2}=2.20\ s\)
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2.20 s