Bernoulli's Equation (Solved for v_1)

$v_1 = sqrt(2*( p_2 + rho *g* y_2 +1/2* rho * v_2 ^2- rho *g* y_1 - p_1 )/ rho )$

$(rho)"Density"$

$(v_2)"Final Velocity"$

$(y_1)"Initial Height"$

$(y_2)"Final Height"$

$(p_1)"Initial Pressure"$

$(p_2)"Final Pressure"$

Reference

Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 468, eq 14.17