27. ssm A fire hose ejects a stream of water at an angle of 35.0° above the horizontal. The water leaves the nozzle with a speed of 25.0 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?

 

The highest possible fire the water could hit would be the maximum height the water reaches above ground.  That height occurs when the y component of velocity goes to zero.  We find the time when that happens and then since we are ignoring air resistance, the distance away is just this time multiplied by the horizontal velocity which does not change.

 

 

 

Find time to max height

Solve for t

Now we can plug this in to find distance

 

 

 

 

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This page last updated on January 11, 2020