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

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To determine the height of the net for the human cannonball act, the problem involves analyzing the projectile motion of Jay shot at a 45-degree angle with an initial speed of 25 m/s. The horizontal distance to the net is 50 m, and the solution requires breaking down the motion into horizontal and vertical components. The time taken to reach the net can be calculated using the horizontal motion, which is then used to find the vertical height (Δy) at that time. The gravitational acceleration (g = 9.8 m/s²) plays a crucial role in calculating the vertical displacement. Ultimately, both components of motion must be considered to accurately determine the net's height above the cannon.
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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?
 
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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?
 
So...I would use the time from horizontal and then use it in the vertical component to find Δy?
 
hawkeye1029 said:
So...I would use the time from horizontal and then use it in the vertical component to find Δy?

Why not?
 
OK
TY all! :smile:
 
Easy to check an idea in phydics... try it and see :)
 
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