- #1
ArbazAlam
- 10
- 0
Homework Statement
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(vi)2sin2[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?
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(vi)2sin2[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?