Finding the angle of the velocity vector of a projectile at moment of impact

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Homework Help Overview

The problem involves a student throwing a stone horizontally from a cliff and seeks to determine the angle of the velocity vector at the moment of impact. The context includes projectile motion, specifically analyzing the horizontal and vertical components of velocity as the stone falls.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss finding the angle by considering the horizontal and vertical components of the velocity. There are attempts to relate these components to a triangle representing the velocity vector.

Discussion Status

The discussion is ongoing, with some participants offering guidance on how to approach the problem by breaking down the components of the velocity vector. There is an exploration of the relationship between the sides and angles of a triangle formed by these components.

Contextual Notes

Participants note the need to find both the angle and the components of velocity, with some expressing uncertainty about how to proceed with the information they have. The original poster emphasizes the importance of this problem for their homework grade.

Corey333
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Homework Statement


A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.0 m/s. The cliff is h= 41.0 m above a flat horizontal beach
h=41
g=10m/s
vi=0m/s
vf2=vi2+2gh
vi=28.64
h=vi+vf/2xt
41=28.64/2xt
14.32
t=2.86
28.64x28.64, 16x16
Square root of 1076.24=32.806

I don't know how to find the angle, On my homework it requires the speed of which the impact lands which is 32.806, and the time it takes to strike the cliff after the stone is thrown which is 2.86, but it is asking for the angle below the horizontal but I don't know how to get it PLEASE HELP A.S.A.P.
I have a 90% on my homework right now but I need to find the angle to get a 100%, I'm a gpa freak I really need this help thank-you in advance!
 
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I assume you mean the angle the velocity vector makes with the horizontal. Find the horizontal and vertical components of velocity, and, given that, find the angle.
 
I have that, 28.64 and 16, I just don't know what to do with that.
 
Draw a triangle, two sides of which are the components of the velocity vector. The hypotenuse in the triangle is the velocity. How are the angles and the sides in the triangle related?
 

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