How Far Does the Shell Land Beyond the Cliff Edge?

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SUMMARY

The discussion focuses on the physics problem of a cannon firing a shell at a 43-degree angle towards a cliff 60.0 m away and 25.0 m tall. The minimum muzzle velocity required for the shell to clear the cliff is determined to be 32.6 m/s. For part b, the solution involves calculating the shell's landing distance beyond the cliff edge using 2D projectile motion principles after it clears the cliff. The initial velocity components are calculated as v_0x = 34.92 m/s and v_oy = 32.56 m/s.

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ledhead86
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! Please Help !

A cannon, located 60.0 m from the base of a vertical 25.0m-tall cliff, shoots a 15-kg shell at 43 degrees above the horizontal toward the cliff.

I have determined:
v=47.75 m/s
v_0x= 34.92 m/s
v_oy=32.56 m/s
a_x=0
a_y=-9.8 m/s^2
x_o=0
y_o=0
x=60m
y=25m
alpha= 43 degrees

part a: What must the minimum muzzle velocity be for the shell to clear the top of the cliff? answer=32.6 m/s


Part b: The ground at the top of the cliff is level, with a constant elevation of 25.0 m above the cannon. Under the conditions of part (a), how far does the shell land past the edge of the cliff?

How do I find part b
 
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Don't panic.
 
Poncho said:
Don't panic.
Thanks for the help. I completely understand now.
 
Figure out the velocity just as the shell clears the cliff. Then treat it as a new problem as if the edge of the cliff were your starting point. From there it's a simple 2d projectile motion problem on flat ground.
 

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