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At the world's highest shooting water fountain, the water rises to a height of 171 meters.
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We want to find the initial speed of the water and how much time it takes for water to reach the highest points.
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So let's quickly sketch what is going on.
00:18
Here we have the ground level, we'll say y is equal to zero, for which water rises, goes up and falls back down.
00:34
At the highest peak, we have a height equal to one hundred feet.
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171 meters.
00:43
This will be the final position and is the initial position.
00:49
At this final position, the velocity is equal to zero.
00:53
Why? because it is just about changed the direction and fall down.
00:58
And knowing is information, we want to find the initial velocity.
01:05
Also knowing that water is going to abide by constant acceleration equal to minus 9 .8 meters per second squared.
01:18
Y is a negative because we're defining our y axis as positive upwards.
01:34
So now let's use our kinematics equations of constant acceleration to find the initial velocity.
01:42
We know that the final velocity squared is equal to the initial velocity squared plus two times the acceleration that is in y times delta y...