Find the initial speed of jump using range and max height

[cosmo1993]

Homework Statement

A dog jumps a distance, L, and a maximum height, H, where the dog only has horizontal velocity when it travels through the hoop. What is the speed of your dog when he leaves the ground?
What is the speed of your dog when he goes through the loop? Both answers should NOT be in terms of sinθ or cosθ.
Max height = H
Distance = L
V at max height = Vx

Homework Equations

V^2 = Vo^2 + 2gΔH
V = (Vox^2+Voy^2)^.5

The Attempt at a Solution

0 = Voy^2 +2gH
Voy = square root(2gH)

My problem is I do not know how to find the horizontal component of velocity in order to solve the rest of the problem. I would greatly appreciate any help.

ps sorry for the bad formatting, this is my first time one the site.

 

[tiny-tim]

hi cosmo1993! welcome to pf!

(try using the X² button just above the Reply box )

let t be the time it reaches the hoop

write the equations for the x and y directions that involve t

then eliminate t

show us what you get ​