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

AI Thread Summary
To find the angle of the velocity vector of a projectile at the moment of impact, the horizontal and vertical components of the velocity must be determined. The horizontal component is given as 16.0 m/s, while the vertical component can be calculated using the final vertical velocity of 28.64 m/s. By constructing a right triangle with these components, the angle can be found using trigonometric functions, specifically the tangent function. The angle below the horizontal can be calculated as the arctangent of the vertical component divided by the horizontal component. This approach will yield the required angle for the homework assignment.
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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