Romeo is tossing pebbles at Juliet's window and wants the pebbles to hit the window gently, with only a horizontal component to their velocity, as they hit the window.

He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall.

---------Horizontal displacement is 5.0m and vertical displacement is 4.5m
--------I know that initial horizontal velocity is unknown and initial vertical velocity is 0
---------Final velocity for both is unknown
---------vertical acceleration = 9.8 and horizontal acceleration is 0


My attempt:


1) What is the y component of the initial velocity of the pebble as it leaves romeo's hand?

Do I use, Vy0=x/t
Vy0=4.5m/.958s=4.69m/s?


2)How long does the pebble take from the time it leaves Romeo's hand to hit the window?


Do I use t = (2y/g)^.5= .958s?

For questions 3-5 I really have no idea how to solve, I think you use the following equation but again I don't know the values :/

3)What is the velocity with which the pebble hits the window?
v_horizontal = x/t

4)Find the magnitude of the velocity with which Romeo tosses the pebble up?
v = sqrt(vx² + vy²)

5)Find the angle at which Romeo launches the pebbles?
theta = arctan(vy/vx)


I would appreciate any help, thanks!