(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

A fire hose held near the ground shoots water at a speed of 7.5 m/s. At what angle(s) should the nozzle point in order that the water would land 3.0 m away?

The attempt at a solution

I remember from engineering there was a single equation you could use to find the horizontal displacement of an object given its initial velocity and projected velocity. I tried deriving it and came up with this:

x = (2(v_{i})^{2}sin2[theta])/19.6

Could somebody please confirm this?

It also asks: Why are there two different angles? I know how to describe this logically, but my teacher usually prefers a more mathematical answer. Would I just say that there are two values for theta that yield the same sine value?

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# Homework Help: Projectile Motion Horizontal Displacement Equation

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