 #1
Homework Statement
A bird flying in the air accelerates 2.82 m/s^{2} north for 4.11 seconds. the final velocity of the bird is 9.09 m/s [east]. What was the initial velocity of the bird?
Homework Equations
v_{f}=v_{0}+a*t
v_{(average)}=(v_{0}+v_{f})/2
v=d/t
d=v_{0}t +½at^{2}
tanθ=opp/adj
The Attempt at a Solution
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I turned the givens into vectors that resulted in the formation of a right angle triangle.
Used Pythagorean theorem to solve for the hypotenuse (initial velocity).
Used tangent to solve for the angle
The one question I have is regarding the vector for acceleration that would be used: when turning the acceleration into a velocity (vector) would the final velocity or the average velocity be used?
I used the average velocity with the idea that if the final were used then it would be the same as if a constant vector were applied to the bird (which is not the case). Since the force varies the vector should only apply the final velocity at the end of the 4.11s.
Can someone help clarify if this is the wrong approach or not?
Thank you.
(edit: sorry for the Ms paint and thank you for the tips for formatting)
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