Water Pressure and 2 dimensional motion

[EEristavi]

Homework Statement

Figure (See below) shows a valve separating a reservoir
from a water tank. If this valve is opened, what
is the maximum height above point B attained by the
water stream coming out of the right side of the tank?
Assume h = 10.0 m, L = 2.00 m, and $\Theta$ = 30.0°, and
assume the cross-sectional area at A is very large compared
with that at B.

Relevant Equations

H = Vt - g(t^2)/2
F = P A
P = pgh

$$ H = \frac { V^2 - V_0^2 sin \Theta} {-2g} $$
$$ H = \frac {V_0^2 sin \Theta} {2g} $$

So, I need to calculate $V_0$
I'm thinking about pressure.

$$ P = \rho g \Delta h $$
$$ \Delta h = h - L sin \Theta $$

$$ F_A = P S_A $$
$$ F_A = P S_B $$

Dead End here...

 

[BvU]

Perhaps you need another equation ? Look back in your notes or text ... what are the subjects that might be exercised herer ?

 

[EEristavi]

Nothing helpful...

Yes endeed, I need another equation/approach. However, I can't figure out which one :/

 

[BvU]

Ever hear of Bernoulli ?

 

[EEristavi]

Yes of course.

However, As I understand, Bernouli is used when we have different densities (to "create" "upward" force).

 

[BvU]

Not right. One density cuts the cake just as well.