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How much time will it take for the ball to reach the ground and at what height will the ball be after each second of motion? Anna Litical drops a ball from rest from the top of the 78.4-meter high cliff.

How much time will it take for the ball to reach the ground and at what height will the ball be after each second of motion? Anna Litical drops a ball from rest from the top of the 78.4-meter high cliff. <br/>

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Asked by Kmtrinidad, Last updated: Nov 09, 2024

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kmtrinidad

kmtrinidad

kmtrinidad
Kmtrinidad

Answered Mar 01, 2018

4 seconds

It will take 4 seconds to fall 78.4 meters Use the equation y = 0.5 g t2 and substitute -9.8 m/s/s for g. The vertical displacement must then be subtracted from the initial height of 78. 4 m. At t = 1 s, y = 4.9 m (down) so height is 73.5 m (78.4 m - 4.9 m ) At t = 2 s, y = 19.6 m (down) so height is 58.8 m (78.4 m - 19.6 m ) At t = 3 s, y = 44.1 m (down) so height is 34.3 m (78.4 m - 45 m) At t = 4 s, y = 78.4 m (down) so height is 0 m (78.4 m - 78.4 m)
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