How Far Does the Shell Land Beyond the Cliff Edge?

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    Minimum Velocity
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Homework Help Overview

The problem involves a cannon firing a shell towards a cliff, with specific parameters given for the cannon's distance from the cliff and the height of the cliff. The subject area pertains to projectile motion and kinematics.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to determine the minimum muzzle velocity required for the shell to clear the cliff and seeks assistance on how to calculate the distance the shell lands beyond the cliff edge.

Discussion Status

Some participants provide reassurance and suggest focusing on the velocity of the shell as it clears the cliff, indicating a shift to treating the problem as a new scenario involving 2D projectile motion. There is no explicit consensus on the approach, but guidance has been offered regarding the next steps.

Contextual Notes

The original poster has provided specific values for the initial conditions and has completed part of the problem, but is seeking further clarification on subsequent calculations. The discussion reflects an ongoing exploration of the problem setup and assumptions regarding projectile motion.

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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