Jumping into a pool from a balcony

[rkiraly]

Homework Statement

Harry and Hermione look from their balcony to a swimming pool below that is 14.0 m from the bottom of their building. They estimate the balcony is 32.0 m high and wonder how fast they would have to jump horizontally to succeed in reaching the pool. What is your answer? Enter m/s as unit and round g = 10 m/s^2.

The Attempt at a Solution

im sorry, i just can't think right now... its so late and all of this is due tomorrow... help?

 

[lax1113]

y=32
x=14

y=-.5at^2
2y/a=t^2... square root that

(2y/a)^1/2=t

X=volt
X/t=Vo

X/(2y/a)^1/2=initial velocity