What is the launch angle for a stream of water hitting a beetle on a leaf?

[Blackwolf189]

A stream of water is shot with an initial speed of 2.3 m/s at a beetle on a leaf 3cm above the waters surface. If the fish aims in such a way that the stream of water is moving horizontally when it hits the beetle what is the launch angle.

Given:
Because the stream is moving horizontally then Vy = 0 m/s.
Ay = -9.8 m/s (gravity)
Displacement y (Dy) = 3 cm
Initial V = 2.3 m/s

How can i find the launch angle

Dy = Initial Vy * Time + 1/2(Ay)* Time*Time but don't know time or Vy

and i know nothing for x.

 

[whozum]

If the stream is moving horizontally, then it is at the peak of its jump. Vy = 0 at h = 3cm. You can use this to find the time.

 

[Blackwolf189]

but i am not given Vy i am givin Initial V which is the square root of Vy squared plus Vx squared. And i cannot derive either of those because i don't have an angle to work with.

 

[whozum]

You can find Vy because you know it is such that v_{y0}t = -\frac{1}{2}gt^2 [/tex], the moment it hits the leaf, all the upward velocity has been lost to gravitational pull.