Finding the Net Height for a Human Cannonball: A Kinematic Approach

[hawkeye1029]

Homework Statement

The Ringling Brothers are in town and Karl decides to audition to be the human cannonball. If Jay is shot out of a cannon at 45 degrees to the horizontal with an initial speed of 25 m/s. A net is positioned at a horizontal distance of 50 m from the cannon. At what height above the cannon should the net be placed in order to catch Jay?

Homework Equations

Kinematic Equations
Not sure what else

The Attempt at a Solution

Stuck for the most part, I tried to divide into horizontal and vertical components.

horizontal
vo = 25
v =
Δx = 50
a = 0
t =

vertical
vo = 0
v =
Δy = find
g = 9.8
t =

Would I have to find Δy from the vertical component? Or is there something else I have to do?

 

[Simon Bridge]

You find the delta-y by using physics - both components of the motion will be important.
How long does it take Karl to reach the net?
How high is he when he reaches the net?

 

[hawkeye1029]

So...I would use the time from horizontal and then use it in the vertical component to find Δy?

 

[PeroK]

So...I would use the time from horizontal and then use it in the vertical component to find Δy?

Why not?

 

[hawkeye1029]

OK
TY all!

 

[Simon Bridge]

Easy to check an idea in phydics... try it and see :)