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water show fountain problem

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A company manufactures high-powered fountains that can be used to create elaborate water shows set to light and music. The company makes three models of fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below.

Model A Model B Model C

height 77 100 240

time to fall (s) 2.194, —-, —- 

initial velocity 70.2 , —-, 123.9

Complete the following tasks, filling in the missing values in the table as you find them:

Find the time water would take to fall from each height in the table back to its starting level.

Find the initial upward velocity required for fountain B to launch the water to its maximum height

Create a function that will give you the minimum initial upward velocity, v, required to launch water to any given height.

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