Speed at which diver enters water

[kinganu123]

Homework Statement

A diver dives from the edge of a swimming pool and lands in the pool 5.7 m away and 0.82 seconds later.
With what speed did the diver dive? At what angle?

Δx=5.7
t=.82
X and Y are independent

Final answer should be 8.04 m/s at a 30 degree angle

Homework Equations

V=V₀+at
V²=V₀²+2aΔx
Δx=V₀t+.5at²
V_ox=V₀cosθ
V_oy=V₀sinθ

The Attempt at a Solution

V_ox=6.95
After that, I'm stumped
I'm missing two variables in every single equation :(

 

[NobodySpecial]

I think you need a couple more assumptions.
If the edge of the pool is level with the water then the path is a parabola - it's the same question as firing a canonball upward and finding where it lands.

 

[kinganu123]

well that makes a LOT of sense
Thanks a bunch! :D

and to why think I was stuck on this for an hour...
the entire time, i was thinking that the water was below the edge of the pool

 

[NobodySpecial]

If it's a diving board and they dived horizontally it would ask you to calculate the height not the angle. If it's a diving board and they jump up you don't have enough info.

After a while you get to spot the questions - it's just practice!

 

[dreit]

Ya, unless it's specifically stated that there is a difference in height I usually just asume that everything is level in problems like these