Projectile Motion from a cliff with no information.

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Homework Help Overview

The problem involves projectile motion, specifically analyzing the trajectory of a cannonball fired horizontally from a cliff, with the range equal to the height of the cliff. The focus is on determining the direction of the velocity vector upon impact with the ground, while ignoring air resistance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between horizontal and vertical motion, with attempts to equate horizontal displacement and vertical displacement. Questions arise regarding the derivation of the angle of impact from the given information.

Discussion Status

The discussion includes various attempts to understand the relationship between the initial velocity and the resulting angle of impact. Some participants express confusion, while one indicates they have resolved their understanding with assistance from others.

Contextual Notes

There is a lack of initial velocity information and specific numerical values, which may affect the clarity of the discussion. Participants are working within the constraints of the problem as stated, without additional context or data.

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Homework Statement


The range of a cannonball fired horizontally from a cliff is equal to the height of the cliff. What is the direction of the velocity vector of the projectile as it strikes the ground? (ignore air resistance)


Homework Equations



I attempted setting delta y = delta x, but had not luck.

The Attempt at a Solution



The apparent solution is 63.4 degrees below the horizon.
 
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delta x= v[initial]*t and delta y=0.5*g*t*t as velocity is zero along y-axis initially.
What do you get when you equate the two?
 
I get inital velocity = .5*g*t. I found that solution earlier but I do not understand how they get an angle from that information?
 
This velocity of yours is along which axis?
 
I honestly am very confused at this point.
 
I figured it out thanks for the help.
 

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