A rock is thrown into the air from a 40 foot deck with an initial velocity of 112 ft/s. What is the maximum height the rock will reach?

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I wasn’t very sure where to start with this one, so I tried looking online to find an example problem. From the ones I looked through, it seems you need at least one of the following variables - maximum height or time in the air. I was not given any of these, so I tried calculating initial velocity first, but then realized you can’t since you’re missing acceleration and time.

So my question is how would you find the maximum height and initial velocity with these unknowns?

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Hint Use $$v^2=u^2+2(-g)H_{max}$$

Where $u=112 ft/s, g=32.17 ft/s^2$

At maximum height $v=0 ft/s$

In this case $H_{max }$ is with the deck as a reference line.