Will the Cannonball Clear the Cliff at 25 Meters High?

AI Thread Summary
The discussion centers on a physics problem involving a cannon firing a shell at a cliff. The cannon is positioned 60 meters from a vertical cliff that is 25 meters tall, and the shell is launched at an angle of 43 degrees with an initial velocity of 47.75 m/s. The minimum velocity required for the shell to clear the cliff is calculated to be 32.56 m/s. To determine how far the shell lands beyond the cliff, one must calculate the time of flight using projectile motion equations and then apply that time to find the horizontal distance traveled. Clear visual aids and a detailed diagram of the setup would enhance understanding of the problem's parameters.
ledhead86
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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: Therefore, the minimum muzzle velocity for the shell to clear the top of the cliff is 32.56 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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Tell us exactly what the question is looking for in both parts, not what you summarized it to be. Second, describe the diagram and the setting a little better so that it is easier to help out with the visuals. As for the second part, all your have to do is plug in you calculated numbers in the projectile equations and solve for the time. once you have the time, you can determine how far over the shot went. If you're still troubled, show what you have done and WHY you are stuck, not just that "you are".
 
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