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.